LCM that 4 and also 10 is the smallest number among all common multiples of 4 and also 10. The first couple of multiples of 4 and also 10 space (4, 8, 12, 16, 20, 24, . . . ) and (10, 20, 30, 40, 50, 60, 70, . . . ) respectively. There space 3 generally used approaches to uncover LCM of 4 and 10 - by listing multiples, by division method, and also by element factorization.

You are watching: What is the least common multiple of 4 and 10?

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

Answer: LCM the 4 and also 10 is 20.

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Explanation:

The LCM of 2 non-zero integers, x(4) and also y(10), is the smallest confident integer m(20) that is divisible through both x(4) and also y(10) without any kind of remainder.


The approaches to find the LCM that 4 and 10 are defined below.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM of 4 and 10 by element Factorization

Prime factorization of 4 and 10 is (2 × 2) = 22 and (2 × 5) = 21 × 51 respectively. LCM of 4 and 10 deserve to be obtained by multiply prime determinants raised to your respective highest power, i.e. 22 × 51 = 20.Hence, the LCM the 4 and also 10 by element factorization is 20.

LCM of 4 and also 10 by Listing Multiples

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To calculate the LCM that 4 and 10 by listing the end the common multiples, we can follow the given below steps:

Step 1: list a couple of multiples that 4 (4, 8, 12, 16, 20, 24, . . . ) and 10 (10, 20, 30, 40, 50, 60, 70, . . . . )Step 2: The common multiples native the multiples of 4 and 10 are 20, 40, . . .Step 3: The smallest common multiple of 4 and 10 is 20.

∴ The least typical multiple the 4 and also 10 = 20.

LCM of 4 and also 10 by department Method

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To calculation the LCM the 4 and also 10 by the division method, we will divide the numbers(4, 10) by their prime determinants (preferably common). The product of these divisors gives the LCM the 4 and also 10.

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

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

☛ likewise Check:


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FAQs on LCM that 4 and 10

What is the LCM the 4 and 10?

The LCM of 4 and 10 is 20. To uncover the LCM (least typical multiple) the 4 and 10, we require to uncover the multiples the 4 and 10 (multiples of 4 = 4, 8, 12, 16 . . . . 20; multiples the 10 = 10, 20, 30, 40) and choose the the smallest multiple the is exactly divisible by 4 and 10, i.e., 20.

What room the approaches to uncover LCM of 4 and 10?

The typically used techniques to discover the LCM of 4 and 10 are:

Listing MultiplesDivision MethodPrime administrate Method

What is the Relation in between GCF and LCM that 4, 10?

The complying with equation deserve to be supplied to express the relation in between GCF and also LCM the 4 and also 10, i.e. GCF × LCM = 4 × 10.

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

LCM(10, 4) × GCF(10, 4) = 10 × 4Since the LCM of 10 and 4 = 20⇒ 20 × GCF(10, 4) = 40Therefore, the greatest typical factor (GCF) = 40/20 = 2.

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Which of the adhering to is the LCM that 4 and also 10? 28, 20, 32, 2

The worth of LCM the 4, 10 is the smallest usual multiple that 4 and also 10. The number to solve the given condition is 20.