LCM that 4 and 10 is the smallest number amongst all usual multiples the 4 and also 10. The first couple of multiples of 4 and 10 room (4, 8, 12, 16, 20, 24, . . . ) and (10, 20, 30, 40, 50, 60, 70, . . . ) respectively. There space 3 frequently used approaches to discover LCM the 4 and also 10 - by listing multiples, by department method, and also by element factorization.

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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 y(10), is the smallest confident integer m(20) the is divisible by both x(4) and y(10) without any kind of remainder.


The methods to uncover the LCM the 4 and also 10 are defined below.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM the 4 and also 10 by element Factorization

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

LCM that 4 and also 10 by Listing Multiples

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To calculation the LCM the 4 and 10 by listing the end the typical multiples, we can follow the given below steps:

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

∴ The least typical multiple that 4 and 10 = 20.

LCM the 4 and also 10 by department Method

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

Step 3: proceed the steps until just 1s are left in the last row.

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

☛ likewise Check:


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FAQs ~ above LCM the 4 and also 10

What is the LCM the 4 and also 10?

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

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

The commonly used techniques to uncover the LCM that 4 and also 10 are:

Listing MultiplesDivision MethodPrime factorization Method

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

The following equation have the right to be used to express the relation in between GCF and LCM that 4 and 10, i.e. GCF × LCM = 4 × 10.

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

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

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Which that the complying with is the LCM the 4 and 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 problem is 20.