LCM that 12 and 20 is the the smallest number among all usual multiples the 12 and also 20. The first couple of multiples of 12 and 20 space (12, 24, 36, 48, 60, 72, . . . ) and also (20, 40, 60, 80, 100, 120, . . . ) respectively. There space 3 typically used methods to discover LCM of 12 and also 20 - by listing multiples, by element factorization, and by department method.

You are watching: What is the lcm of 12 and 20

1.LCM that 12 and also 20
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM the 12 and also 20 is 60.

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Explanation:

The LCM of 2 non-zero integers, x(12) and also y(20), is the smallest hopeful integer m(60) the is divisible by both x(12) and also y(20) without any remainder.


Let's look in ~ the various methods for finding the LCM that 12 and 20.

By prime Factorization MethodBy division MethodBy Listing Multiples

LCM of 12 and 20 by element Factorization

Prime administrate of 12 and also 20 is (2 × 2 × 3) = 22 × 31 and (2 × 2 × 5) = 22 × 51 respectively. LCM that 12 and 20 have the right to be acquired by multiply prime components raised to their respective greatest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM the 12 and also 20 by element factorization is 60.

LCM that 12 and also 20 by department Method

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To calculation the LCM the 12 and also 20 by the department method, we will divide the numbers(12, 20) by their prime determinants (preferably common). The product of these divisors provides the LCM the 12 and 20.

Step 3: continue the measures until only 1s space left in the last row.

The LCM the 12 and 20 is the product of all prime numbers on the left, i.e. LCM(12, 20) by department method = 2 × 2 × 3 × 5 = 60.

LCM of 12 and also 20 by Listing Multiples

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To calculate the LCM that 12 and 20 through listing out the usual multiples, we deserve to follow the given below steps:

Step 1: perform a couple of multiples of 12 (12, 24, 36, 48, 60, 72, . . . ) and 20 (20, 40, 60, 80, 100, 120, . . . . )Step 2: The typical multiples native the multiples that 12 and also 20 are 60, 120, . . .Step 3: The smallest common multiple the 12 and also 20 is 60.

∴ The least typical multiple that 12 and 20 = 60.

☛ also Check:


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FAQs ~ above LCM that 12 and also 20

What is the LCM the 12 and also 20?

The LCM that 12 and also 20 is 60. To find the least typical multiple of 12 and 20, we need to uncover the multiples the 12 and 20 (multiples that 12 = 12, 24, 36, 48 . . . . 60; multiples of 20 = 20, 40, 60, 80) and also choose the smallest multiple that is exactly divisible by 12 and 20, i.e., 60.

What space the methods to find LCM the 12 and 20?

The frequently used methods to discover the LCM that 12 and 20 are:

Division MethodPrime administrate MethodListing Multiples

If the LCM the 20 and also 12 is 60, discover its GCF.

LCM(20, 12) × GCF(20, 12) = 20 × 12Since the LCM that 20 and 12 = 60⇒ 60 × GCF(20, 12) = 240Therefore, the GCF (greatest common factor) = 240/60 = 4.

What is the Relation in between GCF and also LCM the 12, 20?

The adhering to equation deserve to be provided to to express the relation in between GCF and also LCM of 12 and also 20, i.e. GCF × LCM = 12 × 20.

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Which the the following is the LCM of 12 and 20? 60, 16, 2, 45

The worth of LCM of 12, 20 is the smallest usual multiple of 12 and 20. The number to solve the given problem is 60.