LCM of 8 and also 56 is the smallest number amongst all usual multiples that 8 and also 56. The first couple of multiples the 8 and also 56 room (8, 16, 24, 32, 40, 48, 56, . . . ) and (56, 112, 168, 224, . . . ) respectively. There space 3 typically used techniques to discover LCM that 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 that Methods
3.Solved Examples
4.FAQs

Answer: LCM that 8 and also 56 is 56.

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Explanation:

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


The methods to uncover the LCM that 8 and also 56 are defined below.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM the 8 and also 56 by prime Factorization

Prime administer of 8 and also 56 is (2 × 2 × 2) = 23 and also (2 × 2 × 2 × 7) = 23 × 71 respectively. LCM of 8 and also 56 can be obtained by multiply prime determinants raised to your respective highest possible power, i.e. 23 × 71 = 56.Hence, the LCM of 8 and 56 by prime factorization is 56.

LCM of 8 and also 56 through Listing Multiples

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To calculation the LCM of 8 and 56 by listing out the common multiples, we can follow the given listed below steps:

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

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

LCM the 8 and also 56 by department Method

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

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

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

☛ additionally Check:


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FAQs ~ above LCM the 8 and also 56

What is the LCM that 8 and also 56?

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

What space the approaches to find LCM of 8 and 56?

The frequently used approaches to find the LCM the 8 and 56 are:

Division MethodPrime administrate MethodListing Multiples

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

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

How to uncover the LCM that 8 and also 56 by element Factorization?

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

If the LCM that 56 and also 8 is 56, discover its GCF.

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