LCM of 15 and also 20 is the smallest number among all prevalent multiples of 15 and 20. The first few multiples of 15 and also 20 are (15, 30, 45, 60, 75, 90, 105, . . . ) and (20, 40, 60, 80, 100, 120, . . . ) respectively. Tbelow are 3 frequently supplied approaches to find LCM of 15 and also 20 - by division method, by prime factorization, and also by listing multiples.

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1.LCM of 15 and also 20
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 15 and 20 is 60.

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Explanation:

The LCM of 2 non-zero integers, x(15) and also y(20), is the smallest positive integer m(60) that is divisible by both x(15) and y(20) without any type of remainder.


The approaches to uncover the LCM of 15 and 20 are defined listed below.

By Prime Factorization MethodBy Division MethodBy Listing Multiples

LCM of 15 and also 20 by Prime Factorization

Prime factorization of 15 and 20 is (3 × 5) = 31 × 51 and (2 × 2 × 5) = 22 × 51 respectively. LCM of 15 and 20 deserve to be obtained by multiplying prime components raised to their particular highest possible power, i.e. 22 × 31 × 51 = 60.Hence, the LCM of 15 and also 20 by prime factorization is 60.

LCM of 15 and also 20 by Division Method

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To calculate the LCM of 15 and also 20 by the division approach, we will certainly divide the numbers(15, 20) by their prime determinants (preferably common). The product of these divisors provides the LCM of 15 and 20.

Step 3: Continue the measures till just 1s are left in the last row.

The LCM of 15 and also 20 is the product of all prime numbers on the left, i.e. LCM(15, 20) by division technique = 2 × 2 × 3 × 5 = 60.

LCM of 15 and 20 by Listing Multiples

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To calculate the LCM of 15 and also 20 by listing out the prevalent multiples, we can follow the given below steps:

Step 1: List a couple of multiples of 15 (15, 30, 45, 60, 75, 90, 105, . . . ) and 20 (20, 40, 60, 80, 100, 120, . . . . )Step 2: The prevalent multiples from the multiples of 15 and also 20 are 60, 120, . . .Step 3: The smallest prevalent multiple of 15 and 20 is 60.

∴ The least widespread multiple of 15 and 20 = 60.

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FAQs on LCM of 15 and 20

What is the LCM of 15 and also 20?

The LCM of 15 and 20 is 60. To discover the LCM (least widespread multiple) of 15 and 20, we must uncover the multiples of 15 and also 20 (multiples of 15 = 15, 30, 45, 60; multiples of 20 = 20, 40, 60, 80) and select the smallest multiple that is exactly divisible by 15 and also 20, i.e., 60.

Which of the following is the LCM of 15 and 20? 25, 18, 35, 60

The worth of LCM of 15, 20 is the smallest widespread multiple of 15 and also 20. The number satisfying the provided condition is 60.

If the LCM of 20 and also 15 is 60, Find its GCF.

LCM(20, 15) × GCF(20, 15) = 20 × 15Because the LCM of 20 and 15 = 60⇒ 60 × GCF(20, 15) = 300Because of this, the biggest common factor (GCF) = 300/60 = 5.

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What is the Relation Between GCF and LCM of 15, 20?

The adhering to equation can be used to express the relation between GCF and also LCM of 15 and also 20, i.e. GCF × LCM = 15 × 20.

What are the Methods to Find LCM of 15 and also 20?

The commonly used approaches to find the LCM of 15 and 20 are: