LCM the 6 and 8 is the smallest number amongst all common multiples the 6 and 8. The first few multiples of 6 and 8 are (6, 12, 18, 24, 30, 36, 42, . . . ) and also (8, 16, 24, 32, . . . ) respectively. There space 3 generally used approaches to discover LCM the 6 and also 8 - by prime factorization, by department method, and also by listing multiples.

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1.LCM that 6 and 8
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM of 6 and also 8 is 24.

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Explanation:

The LCM of two non-zero integers, x(6) and y(8), is the smallest optimistic integer m(24) the is divisible by both x(6) and y(8) without any kind of remainder.


Let's look at the various methods because that finding the LCM that 6 and 8.

By element Factorization MethodBy Listing MultiplesBy department Method

LCM the 6 and also 8 by element Factorization

Prime factorization of 6 and also 8 is (2 × 3) = 21 × 31 and (2 × 2 × 2) = 23 respectively. LCM that 6 and also 8 have the right to be acquired by multiply prime determinants raised to your respective highest possible power, i.e. 23 × 31 = 24.Hence, the LCM that 6 and 8 by prime factorization is 24.

LCM that 6 and 8 through Listing Multiples

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To calculate the LCM of 6 and also 8 by listing out the usual multiples, we can follow the given listed below steps:

Step 1: perform a couple of multiples the 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and also 8 (8, 16, 24, 32, . . . . )Step 2: The typical multiples indigenous the multiples that 6 and also 8 room 24, 48, . . .Step 3: The smallest common multiple the 6 and also 8 is 24.

∴ The least typical multiple that 6 and also 8 = 24.

LCM of 6 and 8 by division Method

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To calculation the LCM the 6 and 8 through the division method, we will divide the numbers(6, 8) by their prime components (preferably common). The product of these divisors provides the LCM the 6 and 8.

Step 3: continue the steps until only 1s are left in the last row.

The LCM the 6 and also 8 is the product of every prime number on the left, i.e. LCM(6, 8) by department method = 2 × 2 × 2 × 3 = 24.

☛ likewise Check:


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FAQs ~ above LCM the 6 and also 8

What is the LCM the 6 and 8?

The LCM of 6 and also 8 is 24. To find the least usual multiple (LCM) of 6 and 8, we need to find the multiples that 6 and also 8 (multiples that 6 = 6, 12, 18, 24; multiples that 8 = 8, 16, 24, 32) and choose the the smallest multiple the is precisely divisible through 6 and 8, i.e., 24.

What is the least Perfect Square Divisible by 6 and 8?

The least number divisible by 6 and 8 = LCM(6, 8)LCM that 6 and also 8 = 2 × 2 × 2 × 3 ⇒ least perfect square divisible by every 6 and 8 = LCM(6, 8) × 2 × 3 = 144 Therefore, 144 is the forced number.

Which of the following is the LCM the 6 and also 8? 15, 42, 24, 28

The value of LCM of 6, 8 is the smallest usual multiple the 6 and also 8. The number to solve the given condition is 24.

If the LCM that 8 and 6 is 24, find its GCF.

LCM(8, 6) × GCF(8, 6) = 8 × 6Since the LCM that 8 and 6 = 24⇒ 24 × GCF(8, 6) = 48Therefore, the greatest usual factor (GCF) = 48/24 = 2.

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How to find the LCM of 6 and also 8 by element Factorization?

To discover the LCM the 6 and 8 using prime factorization, us will uncover the element factors, (6 = 2 × 3) and (8 = 2 × 2 × 2). LCM the 6 and 8 is the product that prime factors raised to your respective highest exponent among the number 6 and also 8.⇒ LCM the 6, 8 = 23 × 31 = 24.