LCM of 6 and 8 is the smallest number among all typical multiples that 6 and also 8. The first couple of multiples the 6 and 8 room (6, 12, 18, 24, 30, 36, 42, . . . ) and (8, 16, 24, 32, . . . ) respectively. There space 3 frequently used approaches to discover LCM the 6 and 8 - by prime factorization, by department method, and by listing multiples.

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

Answer: LCM that 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 positive integer m(24) that is divisible by both x(6) and y(8) without any kind of remainder.


Let's look at the different methods for finding the LCM the 6 and 8.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM that 6 and also 8 by element Factorization

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

LCM that 6 and 8 by Listing Multiples

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

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

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

LCM the 6 and 8 by department Method

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To calculate the LCM of 6 and 8 by the department method, we will divide the numbers(6, 8) by their prime factors (preferably common). The product of these divisors provides the LCM that 6 and 8.

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

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

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

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

The the very least number divisible through 6 and 8 = LCM(6, 8)LCM that 6 and 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 forced number.

Which that the adhering to is the LCM that 6 and 8? 15, 42, 24, 28

The worth of LCM the 6, 8 is the smallest common multiple that 6 and 8. The number satisfying the given problem is 24.

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

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

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How to discover the LCM of 6 and also 8 by prime Factorization?

To find the LCM the 6 and 8 making use of 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 determinants raised to their respective highest exponent amongst the numbers 6 and also 8.⇒ LCM of 6, 8 = 23 × 31 = 24.