LCM that 20 and 30 is the smallest number among all typical multiples that 20 and also 30. The first couple of multiples of 20 and 30 space (20, 40, 60, 80, . . . ) and also (30, 60, 90, 120, 150, 180, . . . ) respectively. There are 3 generally used techniques to find LCM the 20 and 30 - by listing multiples, by department method, and also by element factorization.

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1.LCM of 20 and 30
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM that 20 and also 30 is 60.

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Explanation:

The LCM of two non-zero integers, x(20) and also y(30), is the smallest hopeful integer m(60) that is divisible by both x(20) and also y(30) without any kind of remainder.


Let's look in ~ the different methods because that finding the LCM that 20 and also 30.

By Listing MultiplesBy division MethodBy element Factorization Method

LCM the 20 and also 30 by Listing Multiples

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To calculate the LCM that 20 and 30 by listing out the typical multiples, we deserve to follow the given below steps:

Step 1: list a couple of multiples the 20 (20, 40, 60, 80, . . . ) and 30 (30, 60, 90, 120, 150, 180, . . . . )Step 2: The common multiples native the multiples the 20 and 30 space 60, 120, . . .Step 3: The smallest usual multiple that 20 and 30 is 60.

∴ The least typical multiple that 20 and also 30 = 60.

LCM that 20 and 30 by division Method

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To calculation the LCM the 20 and also 30 by the department method, we will divide the numbers(20, 30) by their prime factors (preferably common). The product of this divisors provides the LCM that 20 and 30.

Step 3: continue the steps until just 1s room left in the last row.

The LCM that 20 and also 30 is the product of every prime numbers on the left, i.e. LCM(20, 30) by division method = 2 × 2 × 3 × 5 = 60.

LCM that 20 and 30 by element Factorization

Prime administrate of 20 and 30 is (2 × 2 × 5) = 22 × 51 and also (2 × 3 × 5) = 21 × 31 × 51 respectively. LCM the 20 and 30 can be obtained by multiplying prime determinants raised to your respective highest power, i.e. 22 × 31 × 51 = 60.Hence, the LCM the 20 and also 30 by element factorization is 60.

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FAQs on LCM that 20 and also 30

What is the LCM the 20 and 30?

The LCM of 20 and also 30 is 60. To uncover the least usual multiple the 20 and 30, we need to find the multiples the 20 and also 30 (multiples the 20 = 20, 40, 60, 80; multiples the 30 = 30, 60, 90, 120) and also choose the smallest multiple that is precisely divisible through 20 and 30, i.e., 60.

If the LCM of 30 and 20 is 60, uncover its GCF.

LCM(30, 20) × GCF(30, 20) = 30 × 20Since the LCM of 30 and 20 = 60⇒ 60 × GCF(30, 20) = 600Therefore, the GCF (greatest typical factor) = 600/60 = 10.

What space the techniques to uncover LCM that 20 and 30?

The typically used techniques to find the LCM of 20 and 30 are:

Listing MultiplesDivision MethodPrime administer Method

What is the least Perfect Square Divisible through 20 and also 30?

The the very least number divisible through 20 and also 30 = LCM(20, 30)LCM that 20 and 30 = 2 × 2 × 3 × 5 ⇒ the very least perfect square divisible by each 20 and 30 = LCM(20, 30) × 3 × 5 = 900 Therefore, 900 is the compelled number.

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Which that the complying with is the LCM that 20 and 30? 60, 10, 36, 40

The value of LCM of 20, 30 is the smallest common multiple that 20 and also 30. The number solve the given problem is 60.