The least common multiple (LCM) of two numbers is the smallest number that is evenly divisible by both numbers.
The LCM of 3 and 12 is 36.
To find the LCM of two numbers, you can use the prime factorization method. This involves finding the prime factors of each number and then multiplying them together.
The prime factors of 3 are 3.
The prime factors of 12 are 2, 2, 3.
When you multiply the prime factors together, you get:
3 x 2 x 2 x 3 = 36
Therefore, the LCM of 3 and 12 is 36.
Suggestion: Roman Number
What is the greatest common factor of 3 and 12?
The greatest common factor of 3 and 12 is 3. This is because 3 is the only number that is a factor of both 3 and 12.
For another approach, see: Greatest Common Factor
How do you find the least common multiple of 3 and 12?
The least common multiple (LCM) of two numbers is the smallest number that is evenly divisible by both of them. In other words, it is the lowest number that they both have as a factor.
To find the LCM of 3 and 12, we can list the factors of each number and look for the smallest number that appears on both lists:
3: 1, 3 12: 1, 2, 3, 4, 6, 12
The smallest number that appears on both lists is 3, so the LCM of 3 and 12 is 3.
A fresh viewpoint: 3 1 3
What is the LCM of 3 and 12?
In mathematics, the least common multiple, or lowest common multiple, of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. More generally, LCM is the smallest positive integer that is divisible by each of a given set of more than two integers. For example, LCM(2,3) = 6 and LCM(6,10) = 30.
The concept of least common multiple can be extended to sets of more than two integers by taking the least common multiple of the smallest numbers in the set and the largest number in the set. For example, the LCM of the first ten positive integers is the smallest positive integer divisible by each of them, namely 2520; and the LCM of the first fifteen positive integers is 360360.
The LCM of two or more non-zero integers is always positive. But the LCM of 0 and 0 is 0, because 0 is divisible by any other integer.
The least common multiple of a and b is usually written as LCM(a,b), LCM[a,b], lcm(a,b), or lcm[a,b]. In some older texts, LCM(a,b) is written as LC(a,b), for "least common".
Expand your knowledge: Which Element below Is Least Reactive?
What is the smallest number that is a multiple of both 3 and 12?
The smallest number that is a multiple of both 3 and 12 is 36.
3 and 12 are both factors of 36. In other words, 36 is a multiple of both 3 and 12.
Factors are the numbers that we multiply together to get another number. So, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, and 18.
We can also say that 36 is a common multiple of 3 and 12. A common multiple is a multiple that is shared by two or more numbers.
The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers.
3 and 12 have a lot of common factors, so there are many numbers that are multiples of both 3 and 12. 36 is just the smallest of these numbers.
Frequently Asked Questions
What is the LCM of 3 and 9?
If you have 3 and 9 as two separate numbers, the LCM of them is 9. If you want to find out how many different ways there are of multiplying 3 and 9 together to get an LCM result of 9, the answer is 3*3 = 12. There are twelve different ways to do this.
What is the least common multiple of 3 and 9?
The least common multiple or lowest common denominator (lcd) of 3 and 9 is 9.
What is the least common multiple (lcm) of 3 5 6?
The L.C.M of 3, 5 and 6 is 30.
What is the LCM of 12 and 36?
LCM (12, 36) = 2 × 2 × 3 × 3 = 36
What is the least common multiple of 6 and 15?
The least common multiple of 6 and 15 is 30.
Sources
- https://www.mathwarehouse.com/answered-questions/lcm/what-is-the-least-common-multiple-of-3-and-12.php
- https://calculat.io/number/greatest-common-factor-of/3--12
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- https://www.adda247.com/bn/jobs/greatest-common-factor/
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- https://math.stackexchange.com/questions/482314/whats-the-smallest-number-that-can-be-written-as-the-sum-of-two-abundant-number
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- https://www.cuemath.com/numbers/lcm-of-3-and-12/
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