LCM of 6 and 8 is the smallest number amongst all typical multiples that 6 and 8. The first couple of multiples the 6 and also 8 space (6, 12, 18, 24, 30, 36, 42, . . . ) and also (8, 16, 24, 32, . . . ) respectively. There are 3 generally used techniques to find LCM that 6 and also 8 - by element factorization, by division method, and by listing multiples.

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

Answer: LCM that 6 and 8 is 24.

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Explanation:

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


Let's look in ~ the various methods for finding the LCM of 6 and also 8.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM the 6 and 8 by prime Factorization

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

LCM of 6 and 8 through Listing Multiples

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To calculation the LCM of 6 and 8 by listing out the common multiples, we deserve to follow the given listed below steps:

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

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

LCM the 6 and also 8 by division Method

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To calculation the LCM the 6 and also 8 through the department method, we will certainly divide the numbers(6, 8) by their prime determinants (preferably common). The product of these divisors gives the LCM the 6 and also 8.

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

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

☛ also Check:


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FAQs top top LCM the 6 and 8

What is the LCM that 6 and 8?

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

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

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

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

The worth of LCM that 6, 8 is the smallest usual multiple of 6 and 8. The number solve the given condition is 24.

If the LCM of 8 and 6 is 24, discover its GCF.

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

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How to find the LCM that 6 and also 8 by prime Factorization?

To find the LCM of 6 and 8 using prime factorization, us will find the element factors, (6 = 2 × 3) and (8 = 2 × 2 × 2). LCM of 6 and also 8 is the product of prime determinants raised to their respective highest exponent among the numbers 6 and 8.⇒ LCM the 6, 8 = 23 × 31 = 24.