LCM of 12 and 20 is the the smallest number among all common multiples that 12 and 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 are 3 typically used techniques to uncover LCM that 12 and also 20 - through listing multiples, by element factorization, and also by division method.

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1.LCM of 12 and also 20
2.List of 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 positive integer m(60) that is divisible by both x(12) and y(20) without any remainder.


Let's look at the different methods for finding the LCM of 12 and 20.

By prime Factorization MethodBy department MethodBy Listing Multiples

LCM the 12 and 20 by prime Factorization

Prime factorization of 12 and 20 is (2 × 2 × 3) = 22 × 31 and (2 × 2 × 5) = 22 × 51 respectively. LCM of 12 and also 20 have the right to be derived by multiply prime determinants raised to your respective highest possible 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 division Method

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To calculation the LCM of 12 and also 20 by the division method, we will divide the numbers(12, 20) by your prime factors (preferably common). The product of these divisors offers the LCM that 12 and also 20.

Step 3: continue the procedures until just 1s are left in the last row.

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

LCM that 12 and 20 by Listing Multiples

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To calculation the LCM that 12 and 20 by listing the end the typical multiples, we have the right to follow the given listed below steps:

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

∴ The least common multiple the 12 and also 20 = 60.

☛ additionally Check:


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FAQs on LCM that 12 and 20

What is the LCM of 12 and 20?

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

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

The commonly used methods to uncover the LCM of 12 and 20 are:

Division MethodPrime factorization MethodListing Multiples

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

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

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

The adhering to equation deserve to be used to refer the relation between GCF and LCM the 12 and 20, i.e. GCF × LCM = 12 × 20.

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Which of 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 that 12 and 20. The number to solve the given problem is 60.