LCM the 7 and also 8 is the the smallest number amongst all usual multiples of 7 and 8. The first couple of multiples of 7 and also 8 room (7, 14, 21, 28, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There space 3 typically used methods to find LCM of 7 and 8 - by listing multiples, by prime factorization, and also by division method.

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1.LCM the 7 and also 8
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 7 and 8 is 56.

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Explanation:

The LCM of two non-zero integers, x(7) and also y(8), is the smallest positive integer m(56) the is divisible through both x(7) and also y(8) without any remainder.


Let's look in ~ the different methods for finding the LCM of 7 and also 8.

By prime Factorization MethodBy division MethodBy Listing Multiples

LCM the 7 and 8 by prime Factorization

Prime factorization of 7 and 8 is (7) = 71 and also (2 × 2 × 2) = 23 respectively. LCM the 7 and also 8 deserve to be derived by multiplying prime components raised to their respective highest power, i.e. 23 × 71 = 56.Hence, the LCM the 7 and 8 by element factorization is 56.

LCM of 7 and 8 by department Method

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To calculation the LCM the 7 and also 8 by the department method, we will divide the numbers(7, 8) by their prime components (preferably common). The product of this divisors gives the LCM of 7 and also 8.

Step 3: continue the procedures until just 1s space left in the last row.

The LCM of 7 and 8 is the product of every prime numbers on the left, i.e. LCM(7, 8) by department method = 2 × 2 × 2 × 7 = 56.

LCM the 7 and 8 by Listing Multiples

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To calculate the LCM the 7 and also 8 through listing the end the common multiples, we have the right to follow the given below steps:

Step 1: perform a few multiples the 7 (7, 14, 21, 28, . . . ) and 8 (8, 16, 24, 32, 40, 48, 56, . . . . )Step 2: The usual multiples indigenous the multiples the 7 and also 8 space 56, 112, . . .Step 3: The smallest usual multiple of 7 and also 8 is 56.

∴ The least usual multiple of 7 and 8 = 56.

☛ likewise Check:


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FAQs top top LCM of 7 and also 8

What is the LCM of 7 and also 8?

The LCM the 7 and also 8 is 56. To discover the LCM that 7 and 8, we need to discover the multiples that 7 and 8 (multiples the 7 = 7, 14, 21, 28 . . . . 56; multiples of 8 = 8, 16, 24, 32 . . . . 56) and choose the smallest multiple the is exactly divisible through 7 and also 8, i.e., 56.

What is the least Perfect Square Divisible by 7 and 8?

The the very least number divisible through 7 and also 8 = LCM(7, 8)LCM the 7 and 8 = 2 × 2 × 2 × 7 ⇒ the very least perfect square divisible by every 7 and also 8 = LCM(7, 8) × 2 × 7 = 784 Therefore, 784 is the forced number.

What is the Relation between GCF and LCM of 7, 8?

The following equation have the right to be provided to to express the relation between GCF and LCM of 7 and 8, i.e. GCF × LCM = 7 × 8.

If the LCM the 8 and also 7 is 56, find its GCF.

LCM(8, 7) × GCF(8, 7) = 8 × 7Since the LCM that 8 and also 7 = 56⇒ 56 × GCF(8, 7) = 56Therefore, the GCF (greatest usual factor) = 56/56 = 1.

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How to find the LCM the 7 and 8 by prime Factorization?

To uncover the LCM that 7 and also 8 utilizing prime factorization, we will uncover the element factors, (7 = 7) and also (8 = 2 × 2 × 2). LCM of 7 and also 8 is the product that prime determinants raised to your respective greatest exponent amongst the number 7 and 8.⇒ LCM the 7, 8 = 23 × 71 = 56.