LCM of 8 and 28 is the the smallest number amongst all common multiples that 8 and also 28. The first few multiples that 8 and 28 space (8, 16, 24, 32, 40, 48, . . . ) and (28, 56, 84, 112, 140, 168, . . . ) respectively. There space 3 typically used methods to discover LCM of 8 and 28 - by prime factorization, by division method, and by listing multiples.

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1.LCM the 8 and 28
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 8 and 28 is 56.

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Explanation:

The LCM of two non-zero integers, x(8) and also y(28), is the smallest hopeful integer m(56) the is divisible by both x(8) and y(28) without any remainder.


Let's look in ~ the various methods for finding the LCM that 8 and 28.

By Listing MultiplesBy division MethodBy prime Factorization Method

LCM that 8 and also 28 by Listing Multiples

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To calculation the LCM that 8 and also 28 through listing out the common multiples, we can follow the given listed below steps:

Step 1: perform a couple of multiples the 8 (8, 16, 24, 32, 40, 48, . . . ) and 28 (28, 56, 84, 112, 140, 168, . . . . )Step 2: The typical multiples native the multiples of 8 and 28 room 56, 112, . . .Step 3: The smallest common multiple of 8 and 28 is 56.

∴ The least usual multiple that 8 and 28 = 56.

LCM the 8 and 28 by division Method

To calculation the LCM the 8 and also 28 through the division method, we will certainly divide the numbers(8, 28) by your prime components (preferably common). The product of this divisors provides the LCM of 8 and also 28.

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

The LCM the 8 and 28 is the product of all prime number on the left, i.e. LCM(8, 28) by division method = 2 × 2 × 2 × 7 = 56.

LCM of 8 and 28 by element Factorization

Prime administer of 8 and 28 is (2 × 2 × 2) = 23 and also (2 × 2 × 7) = 22 × 71 respectively. LCM that 8 and 28 have the right to be obtained by multiplying prime components raised to their respective highest possible power, i.e. 23 × 71 = 56.Hence, the LCM that 8 and also 28 by prime factorization is 56.

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FAQs on LCM of 8 and 28

What is the LCM that 8 and 28?

The LCM that 8 and 28 is 56. To uncover the LCM (least typical multiple) the 8 and 28, we need to find the multiples of 8 and also 28 (multiples that 8 = 8, 16, 24, 32 . . . . 56; multiples the 28 = 28, 56, 84, 112) and choose the the smallest multiple the is exactly divisible by 8 and also 28, i.e., 56.

What is the the very least Perfect Square Divisible by 8 and 28?

The the very least number divisible by 8 and 28 = LCM(8, 28)LCM the 8 and also 28 = 2 × 2 × 2 × 7 ⇒ the very least perfect square divisible by each 8 and 28 = LCM(8, 28) × 2 × 7 = 784 Therefore, 784 is the compelled number.

If the LCM the 28 and 8 is 56, uncover its GCF.

LCM(28, 8) × GCF(28, 8) = 28 × 8Since the LCM that 28 and also 8 = 56⇒ 56 × GCF(28, 8) = 224Therefore, the greatest typical factor = 224/56 = 4.

Which of the complying with is the LCM that 8 and also 28? 35, 10, 56, 42

The value of LCM that 8, 28 is the smallest common multiple that 8 and also 28. The number satisfying the given problem is 56.

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How to discover the LCM the 8 and 28 by prime Factorization?

To find the LCM that 8 and 28 using prime factorization, we will uncover the prime factors, (8 = 2 × 2 × 2) and (28 = 2 × 2 × 7). LCM of 8 and 28 is the product of prime determinants raised to their respective greatest exponent amongst the number 8 and also 28.⇒ LCM the 8, 28 = 23 × 71 = 56.