LCM the 7 and also 8 is the the smallest number among all usual multiples the 7 and 8. The first couple of multiples that 7 and also 8 are (7, 14, 21, 28, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There room 3 commonly used approaches to find LCM of 7 and 8 - by listing multiples, by element factorization, and also by department method.

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1.LCM that 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 2 non-zero integers, x(7) and also y(8), is the smallest hopeful integer m(56) that is divisible by 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 element Factorization MethodBy department MethodBy Listing Multiples

LCM that 7 and also 8 by element Factorization

Prime factorization of 7 and also 8 is (7) = 71 and also (2 × 2 × 2) = 23 respectively. LCM the 7 and 8 have the right to be acquired by multiply prime determinants raised to their respective greatest power, i.e. 23 × 71 = 56.Hence, the LCM that 7 and also 8 by element factorization is 56.

LCM of 7 and also 8 by department Method

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

Step 3: proceed the procedures until only 1s are left in the last row.

The LCM that 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 the 7 and 8 by Listing Multiples

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To calculation the LCM that 7 and also 8 by listing the end the typical multiples, we have the right to follow the given listed below steps:

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

∴ The least common multiple the 7 and also 8 = 56.

☛ additionally Check:


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FAQs top top LCM the 7 and 8

What is the LCM of 7 and 8?

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

What is the the very least Perfect Square Divisible through 7 and 8?

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

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

The following equation deserve to be supplied to refer the relation between GCF and also LCM that 7 and 8, i.e. GCF × LCM = 7 × 8.

If the LCM of 8 and 7 is 56, discover 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 common factor) = 56/56 = 1.

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How to discover the LCM of 7 and 8 by element Factorization?

To discover the LCM that 7 and 8 using prime factorization, us will discover the prime factors, (7 = 7) and also (8 = 2 × 2 × 2). LCM that 7 and 8 is the product the prime factors raised to your respective greatest exponent amongst the number 7 and also 8.⇒ LCM the 7, 8 = 23 × 71 = 56.