LCM the 8 and 56 is the smallest number among all common multiples the 8 and also 56. The first couple of multiples of 8 and 56 are (8, 16, 24, 32, 40, 48, 56, . . . ) and also (56, 112, 168, 224, . . . ) respectively. There room 3 commonly used methods to find LCM the 8 and also 56 - by division method, by listing multiples, and by element factorization.

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

Answer: LCM that 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 hopeful integer m(56) that is divisible by both x(8) and also y(56) without any remainder.


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

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM the 8 and also 56 by element Factorization

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

LCM the 8 and also 56 through Listing Multiples

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To calculate the LCM the 8 and also 56 through listing the end the typical multiples, we deserve to follow the given below steps:

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

∴ The least typical multiple that 8 and 56 = 56.

LCM that 8 and also 56 by division Method

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To calculation the LCM of 8 and also 56 by the department method, we will certainly divide the numbers(8, 56) by your prime factors (preferably common). The product of these divisors provides the LCM of 8 and 56.

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

The LCM the 8 and also 56 is the product of every 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 of 8 and also 56

What is the LCM that 8 and also 56?

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

What space the methods to uncover LCM of 8 and also 56?

The frequently used methods to find the LCM that 8 and also 56 are:

Division MethodPrime factorization MethodListing Multiples

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

The worth of LCM of 8, 56 is the smallest usual multiple of 8 and also 56. The number satisfying the given problem is 56.

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

To find the LCM the 8 and 56 utilizing prime factorization, us will uncover the prime factors, (8 = 2 × 2 × 2) and also (56 = 2 × 2 × 2 × 7). LCM that 8 and 56 is the product of prime components raised to their respective highest possible exponent among the number 8 and also 56.⇒ LCM that 8, 56 = 23 × 71 = 56.

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

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