The least common multiple (LCM) of two numbers is the smallest number that is evenly divisible by both numbers. In other words, the LCM is the smallest number that contains all the factors of both numbers.
To find the LCM of 5 and 15, we list the factors of each number:
5: 1, 5 15: 1, 3, 5, 15
The LCM is the smallest number that contains all the factors of both numbers, so the LCM of 5 and 15 is 15.
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What are the factors of 15?
In mathematics, a factor is a number that can be multiplied by another number to produce a given product. The factors of 15 are 1, 3, 5, and 15.
The factors of 15 are important because they can be used to determine the greatest common factor (GCF) and the least common multiple (LCM) of a set of numbers. The GCF is the largest number that is a factor of all the numbers in the set. The LCM is the smallest number that is a multiple of all the numbers in the set.
To find the GCF of a set of numbers, you can list the factors of each number and find the largest number that is a factor of all the numbers. For example, the factors of 15 are 1, 3, 5, and 15. The factors of 30 are 1, 2, 3, 5, 10, 15, and 30. The largest number that is a factor of both 15 and 30 is 15.
To find the LCM of a set of numbers, you can list the multiples of each number and find the smallest number that is a multiple of all the numbers. For example, the multiples of 15 are 15, 30, 45, 60, 75, and 90. The multiples of 30 are 30, 60, 90, 120, 150, and 180. The smallest number that is a multiple of both 15 and 30 is 30.
The factors of 15 are important because they can be used to solve problems. For example, if you know that the product of two numbers is 15, you can use the factors of 15 to determine the numbers.
To solve this problem, you would list the factors of 15: 1, 3, 5, and 15. Then, you would look for two numbers that have a product of 15. The only pair of numbers that have a product of 15 are 3 and 5. So, the two numbers are 3 and 5.
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What is the greatest common factor of 5 and 15?
The greatest common factor (GCF) of 5 and 15 is 5.
To find the GCF of 5 and 15, we can use the Euclidean algorithm, which is a method for finding the greatest common divisor of two numbers.
The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers is the largest number that evenly divides both numbers.
To find the GCF of 5 and 15 using the Euclidean algorithm, we first find the smaller number of the two, which is 5. We then divide 15 by 5 to get 3.
We then take the remainder of 3 and divide it into 5, which gives us 2. We then take the remainder of 2 and divide it into 3, which gives us 1.
We then take the remainder of 1 and divide it into 2, which gives us 0.
The greatest common divisor of 5 and 15 is 5.
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What is the product of 5 and 15?
5 * 15 = 75
The product of 5 and 15 is 75.
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What is the LCM of 5 and 15?
The LCM of 5 and 15 is 15.
The LCM (least common multiple) of two numbers is the smallest number that is a multiple of both of the numbers. In other words, it is the smallest number that they both go into evenly.
To find the LCM of 5 and 15, we can list the first few multiples of each number until we find a common multiple:
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150
As we can see, 15 is the first number that appears in both lists. Therefore, 15 is the LCM of 5 and 15.
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What is the LCM of 3 and 5?
The LCM of 3 and 5 is 15.
To find the LCM of two or more numbers, we must first list the factors of each number. The factors of 3 are 1, 3; the factors of 5 are 1, 5. To find the LCM, we multiply the greatest factor of each number together. In this case, the LCM is 15.
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What is the LCM of 3 and 15?
The lowest common multiple (LCM) of two whole numbers is the smallest whole number that is a multiple of both of the numbers. The LCM of 3 and 15 is 15.
Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ... Multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135, ...
As we can see, 15 is the smallest whole number that is a multiple of both 3 and 15.
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What is the LCM of 5 and 9?
The LCM of 5 and 9 is 45.
The lowest common multiple (LCM) of two numbers is the smallest number that is evenly divisible by both numbers. In other words, the LCM is the smallest number that both 5 and 9 will go into evenly.
To find the LCM of 5 and 9, we can start by listing the multiples of each number:
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95 Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
As we can see, the LCM of 5 and 9 is 45.
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What is the LCM of 15 and 9?
The least common multiple (LCM) of 15 and 9 is 45.
The highest common factor (HCF) of 15 and 9 is 3, so the LCM must be a multiple of 3.
The first multiple of 3 that is also a multiple of 15 is 45.
Therefore, the LCM of 15 and 9 is 45.
Frequently Asked Questions
How do you calculate least common multiple?
Calculating least common multiple is simple as finding the smallest number that has two digits and dividing it by the total number of digits in both numbers.
What is the LCM of 5, 10, and 15?
The LCM of 5, 10, and 15 is 30.
What is the greatest common factor of 15?
The greatest common factor of 15 and 5 is 30.
What is the greatest common factor of 0 and 5?
The greatest common factor of 0 and 5 is 0.
How do you figure out the least common multiple?
There are a few ways to figure out the least common multiple, but the easiest and most common is using the prime factorization method. To do this, you need to find the prime factors of each number. The prime factors of a number are the numbers that can divided evenly by 1, 2, 3, etc. Once you have the prime factors of each number, you can use them to find the least common multiple.
Sources
- https://www.mathsisfun.com/greatest-common-factor.html
- https://www.mometrix.com/academy/greatest-common-factor/
- https://byjus.com/maths/greatest-common-divisor/
- https://www.geeksforgeeks.org/prime-factor/
- https://en.wikipedia.org/wiki/Least_common_multiple
- https://www.calculatorsoup.com/calculators/math/lcm.php
- https://www.mathportal.org/calculators/numbers-calculators/lcm-calculator.php
- https://ccssmathanswers.com/worksheet-on-hcf-and-lcm/
- https://www.javatpoint.com/lcm-of-two-numbers-in-c
- https://www.panelook.com/N156HRA-EA1_Innolux_15.6_LCM_overview_45768.html
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