LCM that 8 and also 12 is the the smallest number among all typical multiples the 8 and also 12. The first couple of multiples the 8 and 12 space (8, 16, 24, 32, . . . ) and also (12, 24, 36, 48, 60, . . . ) respectively. There room 3 generally used methods to discover LCM that 8 and also 12 - by division method, by element factorization, and also by listing multiples.

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1.LCM the 8 and 12
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM of 8 and also 12 is 24.

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Explanation:

The LCM of 2 non-zero integers, x(8) and y(12), is the smallest positive integer m(24) the is divisible by both x(8) and y(12) without any remainder.


Let's look in ~ the different methods because that finding the LCM the 8 and 12.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM that 8 and 12 by prime Factorization

Prime factorization of 8 and 12 is (2 × 2 × 2) = 23 and (2 × 2 × 3) = 22 × 31 respectively. LCM of 8 and also 12 have the right to be obtained by multiply prime determinants raised to your respective highest power, i.e. 23 × 31 = 24.Hence, the LCM the 8 and 12 by prime factorization is 24.

LCM the 8 and also 12 by department Method

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To calculation the LCM of 8 and also 12 by the department method, we will certainly divide the numbers(8, 12) by your prime determinants (preferably common). The product of this divisors offers the LCM the 8 and 12.

Step 3: continue the steps until just 1s room left in the critical row.

The LCM the 8 and also 12 is the product of every prime number on the left, i.e. LCM(8, 12) by department method = 2 × 2 × 2 × 3 = 24.

LCM of 8 and also 12 through Listing Multiples

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To calculate the LCM the 8 and 12 by listing the end the usual multiples, we can follow the given below steps:

Step 1: list a couple of multiples of 8 (8, 16, 24, 32, . . . ) and 12 (12, 24, 36, 48, 60, . . . . )Step 2: The common multiples indigenous the multiples that 8 and 12 are 24, 48, . . .Step 3: The smallest typical multiple of 8 and 12 is 24.

∴ The least common multiple the 8 and 12 = 24.

☛ likewise Check:


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FAQs ~ above LCM the 8 and also 12

What is the LCM that 8 and also 12?

The LCM of 8 and 12 is 24. To find the least usual multiple (LCM) of 8 and also 12, we require to uncover the multiples of 8 and 12 (multiples that 8 = 8, 16, 24, 32; multiples the 12 = 12, 24, 36, 48) and also choose the the smallest multiple that is exactly divisible by 8 and 12, i.e., 24.

What is the least Perfect Square Divisible through 8 and also 12?

The the very least number divisible by 8 and also 12 = LCM(8, 12)LCM that 8 and also 12 = 2 × 2 × 2 × 3 ⇒ the very least perfect square divisible by each 8 and also 12 = LCM(8, 12) × 2 × 3 = 144 Therefore, 144 is the forced number.

Which the the adhering to is the LCM that 8 and 12? 3, 5, 45, 24

The value of LCM that 8, 12 is the smallest usual multiple that 8 and also 12. The number solve the given problem is 24.

If the LCM the 12 and also 8 is 24, discover its GCF.

LCM(12, 8) × GCF(12, 8) = 12 × 8Since the LCM of 12 and 8 = 24⇒ 24 × GCF(12, 8) = 96Therefore, the GCF (greatest common factor) = 96/24 = 4.

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What is the Relation between GCF and also LCM the 8, 12?

The complying with equation have the right to be offered to express the relation in between GCF and also LCM the 8 and 12, i.e. GCF × LCM = 8 × 12.