The least common multiple of 8 and 11 is 44.
To find the least common multiple of two numbers, we first need to find their greatest common factor. The greatest common factor of 8 and 11 is 1.
Once we have the greatest common factor, we can divide each number by it and multiply the result together.
8 ÷ 1 = 8 11 ÷ 1 = 11
8 × 11 = 88
The least common multiple of 8 and 11 is 88.
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What is the smallest number that is a multiple of both 8 and 11?
Conventionally, we determine the smallest number that is a multiple of two natural numbers a and b by finding the least common multiple (LCM) of a and b. The LCM of two integers a and b is the smallest positive integer that is evenly divisible by both a and b. In other words, the LCM of a and b is the smallest positive integer that is a multiple of both a and b.
There are a few different ways to find the LCM of two numbers. One method is to list the multiples of each number until a common multiple is reached. For example, the first five multiples of 8 are 8, 16, 24, 32, 40 and the first five multiples of 11 are 11, 22, 33, 44, 55. The smallest number that is a multiple of both 8 and 11 is therefore 55.
Another way to find the LCM of two numbers is to use the greatest common divisor (GCD) method. The GCD of two integers a and b is the largest positive integer that evenly divides both a and b. In other words, the GCD of a and b is the largest positive integer that is a factor of both a and b.
The GCD method is as follows:
1. Find the GCD of the two numbers. 2. Divide the GCD into each of the numbers. 3. Multiply the two numbers together.
For example, to find the LCM of 8 and 11 using the GCD method, we would first find the GCD of 8 and 11. The GCD of 8 and 11 is 1. We would then divide 1 into each of the numbers 8 and 11. 8 divided by 1 is 8 and 11 divided by 1 is 11. We would then multiply 8 and 11 together to get 88.
Although the GCD method is a bit more complicated than the first method, it has the advantage of being able to find the LCM of very large numbers. For example, the LCM of 100 and 200 is 20,000.
In conclusion, the smallest number that is a multiple of both 8 and 11 is 55. This can be determined by either listing the multiples of each number until a common multiple is reached or by using the GCD method.
For your interest: Wore Number 8
What is the LCM of 8 and 11?
The LCM of 8 and 11 is 88.
Frequently Asked Questions
What is the least common multiple of 7 8 11 and 12?
The least common multiple of 7, 8, 11, and 12 is 36.
What is the LCM of 7 and 11?
The LCM (Least Common Multiple) of 7 and 11 is 77. The method to find the LCM of two non-zero integers, x (7) and y (11), is by finding the smallest positive integer m that is divisible by both x (7) and y (11) without any remainder. In this case, m = 27. Therefore, theLCM of 7 and 11 is 27.
How to find LCM of 7 and 8 using division?
The smallest prime number that is a factor of both 7 and 8 is 3. Therefore, the LCM of 7 and 8 is 3.
How do you find the LCM of two numbers?
The LCM of two numbers is the product of the highest powers of the prime factors that are common to both numbers. For example, if the two numbers are 32 and 10, their LCM is 304.
What does LCM stand for in math?
LCM stands for "Least Common Multiple."
Sources
- https://www.lcm-calculator.com/
- https://www.rapidtables.com/calc/math/lcm-calculator.html
- https://www.weegy.com/
- https://esta.gaingon.net/en/wiki/what-are-the-common-multiples-of-12-and-16/
- https://studystoph.com/math/question517701003
- https://www.mathwarehouse.com/answered-questions/multiples/what-are-the-multiples-of-8-solved.php
- https://calculationcalculator.com/lcm-of-8-and-11
- https://answers.everydaycalculation.com/lcm/8-11
- https://www.gcflcm.com/lcm-of-8-and-11
- https://math.answers.com/other-math/What_is_least_common_multiple_of_8_11_and_36
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