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

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1.LCM that 7 and 8
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 7 and also 8 is 56.

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Explanation:

The LCM of 2 non-zero integers, x(7) and y(8), is the smallest optimistic integer m(56) the is divisible through both x(7) and y(8) without any type of remainder.


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

By element Factorization MethodBy department MethodBy Listing Multiples

LCM that 7 and also 8 by prime Factorization

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

LCM the 7 and also 8 by department Method

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To calculation the LCM of 7 and 8 by the division method, we will certainly divide the numbers(7, 8) by your prime determinants (preferably common). The product of this divisors provides the LCM the 7 and also 8.

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

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

LCM of 7 and also 8 by Listing Multiples

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To calculate the LCM that 7 and 8 by listing out 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 also 8 (8, 16, 24, 32, 40, 48, 56, . . . . )Step 2: The typical multiples from the multiples the 7 and also 8 are 56, 112, . . .Step 3: The smallest common multiple the 7 and also 8 is 56.

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

☛ additionally Check:


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FAQs top top LCM the 7 and 8

What is the LCM the 7 and 8?

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

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

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

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

The adhering to equation deserve to be provided to refer the relation in between GCF and LCM that 7 and 8, i.e. GCF × LCM = 7 × 8.

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

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

See more: Simplify Square Root Of 23 In Radical Form ? Square Root Of 23

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

To discover the LCM that 7 and 8 making use of prime factorization, us will uncover the prime factors, (7 = 7) and also (8 = 2 × 2 × 2). LCM that 7 and 8 is the product the prime determinants raised to their respective greatest exponent among the numbers 7 and also 8.⇒ LCM that 7, 8 = 23 × 71 = 56.