LCM of 4 and also 10 is the smallest number among all common multiples of 4 and 10. The first few multiples of 4 and 10 are (4, 8, 12, 16, 20, 24, . . . ) and (10, 20, 30, 40, 50, 60, 70, . . . ) respectively. Tright here are 3 commonly used methods to discover LCM of 4 and also 10 - by listing multiples, by department method, and also by prime factorization.

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1.LCM of 4 and 10
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 4 and also 10 is 20.

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Explanation:

The LCM of two non-zero integers, x(4) and y(10), is the smallest positive integer m(20) that is divisible by both x(4) and also y(10) without any remainder.


The methods to find the LCM of 4 and also 10 are described below.

By Prime Factorization MethodBy Listing MultiplesBy Division Method

LCM of 4 and 10 by Prime Factorization

Prime factorization of 4 and also 10 is (2 × 2) = 22 and (2 × 5) = 21 × 51 respectively. LCM of 4 and 10 can be derived by multiplying prime components elevated to their corresponding greatest power, i.e. 22 × 51 = 20.Hence, the LCM of 4 and 10 by prime factorization is 20.

LCM of 4 and 10 by Listing Multiples

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To calculate the LCM of 4 and 10 by listing out the prevalent multiples, we can follow the provided listed below steps:

Step 1: List a few multiples of 4 (4, 8, 12, 16, 20, 24, . . . ) and 10 (10, 20, 30, 40, 50, 60, 70, . . . . )Tip 2: The widespread multiples from the multiples of 4 and 10 are 20, 40, . . .Tip 3: The smallest common multiple of 4 and also 10 is 20.

∴ The leastern common multiple of 4 and 10 = 20.

LCM of 4 and also 10 by Division Method

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To calculate the LCM of 4 and also 10 by the department method, we will certainly divide the numbers(4, 10) by their prime components (preferably common). The product of these divisors gives the LCM of 4 and also 10.

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

The LCM of 4 and also 10 is the product of all prime numbers on the left, i.e. LCM(4, 10) by division approach = 2 × 2 × 5 = 20.

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FAQs on LCM of 4 and 10

What is the LCM of 4 and 10?

The LCM of 4 and also 10 is 20. To find the LCM (leastern widespread multiple) of 4 and also 10, we must uncover the multiples of 4 and also 10 (multiples of 4 = 4, 8, 12, 16 . . . . 20; multiples of 10 = 10, 20, 30, 40) and also pick the smallest multiple that is exactly divisible by 4 and 10, i.e., 20.

What are the Methods to Find LCM of 4 and 10?

The generally provided techniques to find the LCM of 4 and 10 are:

Listing MultiplesDivision MethodPrime Factorization Method

What is the Relation Between GCF and also LCM of 4, 10?

The adhering to equation can be offered to expush the relation between GCF and also LCM of 4 and also 10, i.e. GCF × LCM = 4 × 10.

If the LCM of 10 and 4 is 20, Find its GCF.

LCM(10, 4) × GCF(10, 4) = 10 × 4Due to the fact that the LCM of 10 and also 4 = 20⇒ 20 × GCF(10, 4) = 40Therefore, the greatest widespread factor (GCF) = 40/20 = 2.

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Which of the complying with is the LCM of 4 and 10? 28, 20, 32, 2

The value of LCM of 4, 10 is the smallest prevalent multiple of 4 and 10. The number satisfying the given problem is 20.