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. 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 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 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.

☛ Also Check: ## 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.