LCM of 8 and also 56 is the the smallest number amongst all typical multiples the 8 and also 56. The first few multiples of 8 and also 56 room (8, 16, 24, 32, 40, 48, 56, . . . ) and also (56, 112, 168, 224, . . . ) respectively. There space 3 frequently used approaches to discover LCM of 8 and 56 - by department method, by listing multiples, and by prime factorization.

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1.LCM of 8 and also 56
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 8 and 56 is 56.

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Explanation:

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


The approaches to find the LCM that 8 and 56 are defined below.

By prime Factorization MethodBy Listing MultiplesBy division Method

LCM that 8 and 56 by prime Factorization

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

LCM of 8 and 56 by Listing Multiples

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To calculation the LCM of 8 and 56 through listing out the typical multiples, we have the right to follow the given listed below steps:

Step 1: list a few multiples that 8 (8, 16, 24, 32, 40, 48, 56, . . . ) and also 56 (56, 112, 168, 224, . . . . )Step 2: The usual multiples from the multiples that 8 and 56 are 56, 112, . . .Step 3: The smallest common multiple the 8 and 56 is 56.

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

LCM that 8 and 56 by department Method

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To calculation the LCM the 8 and 56 by the division method, we will divide the numbers(8, 56) by their prime components (preferably common). The product of this divisors provides the LCM the 8 and also 56.

Step 3: continue the measures until just 1s space left in the critical row.

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

☛ additionally Check:


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FAQs on LCM of 8 and 56

What is the LCM that 8 and also 56?

The LCM that 8 and also 56 is 56. To find the LCM (least usual multiple) that 8 and 56, we require to uncover the multiples of 8 and also 56 (multiples that 8 = 8, 16, 24, 32 . . . . 56; multiples that 56 = 56, 112, 168, 224) and also choose the smallest multiple the is precisely divisible by 8 and also 56, i.e., 56.

What space the techniques to discover LCM that 8 and also 56?

The typically used approaches to uncover the LCM of 8 and also 56 are:

Division MethodPrime administer MethodListing Multiples

Which the the adhering to is the LCM that 8 and 56? 18, 20, 56, 35

The value of LCM the 8, 56 is the smallest typical multiple that 8 and also 56. The number solve the given problem is 56.

How to uncover the LCM of 8 and 56 by prime Factorization?

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

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

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LCM(56, 8) × GCF(56, 8) = 56 × 8Since the LCM of 56 and also 8 = 56⇒ 56 × GCF(56, 8) = 448Therefore, the GCF = 448/56 = 8.