LCM that 4 and 10 is the the smallest number amongst all typical multiples the 4 and also 10. The first few multiples the 4 and 10 space (4, 8, 12, 16, 20, 24, . . . ) and also (10, 20, 30, 40, 50, 60, 70, . . . ) respectively. There are 3 frequently used approaches to uncover LCM the 4 and also 10 - by listing multiples, by division method, and by prime factorization.

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1.LCM the 4 and also 10
2.List that 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 confident integer m(20) the is divisible by both x(4) and y(10) without any type of remainder.


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

By element Factorization MethodBy Listing MultiplesBy department Method

LCM the 4 and 10 by element Factorization

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

LCM that 4 and 10 by Listing Multiples

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To calculation the LCM of 4 and 10 through listing the end the usual multiples, we can follow the given listed below steps:

Step 1: perform a couple of multiples of 4 (4, 8, 12, 16, 20, 24, . . . ) and 10 (10, 20, 30, 40, 50, 60, 70, . . . . )Step 2: The usual multiples indigenous the multiples that 4 and also 10 room 20, 40, . . .Step 3: The smallest typical multiple of 4 and 10 is 20.

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

LCM that 4 and also 10 by division Method

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

Step 3: continue the measures until only 1s space left in the last row.

The LCM that 4 and 10 is the product of every prime number 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 10

What is the LCM of 4 and 10?

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

What space the techniques to uncover LCM the 4 and also 10?

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

Listing MultiplesDivision MethodPrime administrate Method

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

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

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

LCM(10, 4) × GCF(10, 4) = 10 × 4Since the LCM that 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 of 4 and 10? 28, 20, 32, 2

The value of LCM the 4, 10 is the smallest common multiple of 4 and also 10. The number satisfying the given condition is 20.