LCM the 7 and also 8 is the smallest number amongst all common multiples the 7 and also 8. The first few multiples the 7 and also 8 room (7, 14, 21, 28, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There room 3 generally used techniques to uncover LCM that 7 and also 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 that 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 confident integer m(56) the is divisible by both x(7) and y(8) without any type of remainder.


Let's look in ~ the various methods because that finding the LCM of 7 and also 8.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM of 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 that 7 and 8 can be acquired by multiply prime determinants raised to their respective highest possible power, i.e. 23 × 71 = 56.Hence, the LCM of 7 and also 8 by prime factorization is 56.

LCM that 7 and also 8 by department Method

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

Step 3: proceed the steps until only 1s room left in the critical row.

The LCM of 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 also 8 by Listing Multiples

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To calculation the LCM the 7 and also 8 through listing out the typical multiples, we can follow the given below steps:

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

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

☛ additionally Check:


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FAQs ~ above LCM of 7 and also 8

What is the LCM of 7 and also 8?

The LCM that 7 and also 8 is 56. To discover the LCM of 7 and 8, we require to uncover the multiples the 7 and 8 (multiples of 7 = 7, 14, 21, 28 . . . . 56; multiples that 8 = 8, 16, 24, 32 . . . . 56) and choose the the smallest multiple the is precisely 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 also 8 = LCM(7, 8)LCM the 7 and 8 = 2 × 2 × 2 × 7 ⇒ least perfect square divisible by every 7 and 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 adhering to equation deserve to be offered to express the relation between GCF and also LCM the 7 and 8, i.e. GCF × LCM = 7 × 8.

If the LCM the 8 and 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 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 of 7 and 8 utilizing prime factorization, us will discover the prime factors, (7 = 7) and also (8 = 2 × 2 × 2). LCM of 7 and also 8 is the product the prime factors raised to their respective greatest exponent amongst the numbers 7 and 8.⇒ LCM of 7, 8 = 23 × 71 = 56.