LCM the 20 and 30 is the the smallest number amongst all usual multiples that 20 and also 30. The first couple of multiples that 20 and 30 room (20, 40, 60, 80, . . . ) and also (30, 60, 90, 120, 150, 180, . . . ) respectively. There room 3 generally used techniques to uncover LCM of 20 and also 30 - by listing multiples, by division method, and also by prime factorization.

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

Answer: LCM the 20 and 30 is 60.

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Explanation:

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


Let's look in ~ the various methods for finding the LCM the 20 and 30.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM the 20 and also 30 by Listing Multiples

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To calculation the LCM the 20 and 30 by listing the end the usual multiples, we deserve to follow the given listed below steps:

Step 1: perform a couple of multiples the 20 (20, 40, 60, 80, . . . ) and 30 (30, 60, 90, 120, 150, 180, . . . . )Step 2: The common multiples from the multiples the 20 and also 30 room 60, 120, . . .Step 3: The smallest common multiple the 20 and also 30 is 60.

∴ The least usual multiple that 20 and 30 = 60.

LCM that 20 and 30 by division Method

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

Step 3: proceed the steps until only 1s room left in the critical row.

The LCM of 20 and also 30 is the product of all prime number on the left, i.e. LCM(20, 30) by department method = 2 × 2 × 3 × 5 = 60.

LCM that 20 and 30 by element Factorization

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

☛ likewise Check:


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FAQs on LCM of 20 and 30

What is the LCM of 20 and also 30?

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

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

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

What are the methods to find LCM of 20 and 30?

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

Listing MultiplesDivision MethodPrime factorization Method

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

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

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Which the the following is the LCM of 20 and 30? 60, 10, 36, 40

The worth of LCM of 20, 30 is the smallest common multiple the 20 and 30. The number to solve the given problem is 60.