LCM the 17 and also 8 is the the smallest number amongst all usual multiples the 17 and also 8. The first few multiples of 17 and also 8 space (17, 34, 51, 68, . . . ) and also (8, 16, 24, 32, 40, 48, . . . ) respectively. There room 3 commonly used techniques to discover LCM of 17 and also 8 - by division method, by prime factorization, and by listing multiples.

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 1 LCM the 17 and also 8 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM of 17 and 8 is 136.

Explanation:

The LCM of two non-zero integers, x(17) and also y(8), is the smallest hopeful integer m(136) that is divisible through both x(17) and also y(8) without any type of remainder.

The approaches to find the LCM the 17 and 8 are explained below.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM that 17 and also 8 by element Factorization

Prime factorization of 17 and also 8 is (17) = 171 and (2 × 2 × 2) = 23 respectively. LCM the 17 and 8 can be acquired by multiplying prime factors raised to their respective greatest power, i.e. 23 × 171 = 136.Hence, the LCM of 17 and 8 by prime factorization is 136.

LCM of 17 and also 8 through Listing Multiples

To calculate the LCM that 17 and 8 through listing the end the usual multiples, we have the right to follow the given listed below steps:

Step 1: list a few multiples the 17 (17, 34, 51, 68, . . . ) and 8 (8, 16, 24, 32, 40, 48, . . . . )Step 2: The common multiples from the multiples the 17 and 8 space 136, 272, . . .Step 3: The smallest typical multiple that 17 and 8 is 136.

∴ The least typical multiple that 17 and 8 = 136.

LCM of 17 and also 8 by division Method

To calculate the LCM of 17 and also 8 by the department method, we will certainly divide the numbers(17, 8) by their prime components (preferably common). The product of these divisors gives the LCM of 17 and 8.

Step 3: proceed the procedures until only 1s space left in the critical row.

The LCM that 17 and also 8 is the product of all prime number on the left, i.e. LCM(17, 8) by department method = 2 × 2 × 2 × 17 = 136.

FAQs on LCM the 17 and 8

What is the LCM of 17 and also 8?

The LCM of 17 and also 8 is 136. To uncover the least typical multiple (LCM) the 17 and also 8, we need to uncover the multiples that 17 and 8 (multiples the 17 = 17, 34, 51, 68 . . . . 136; multiples the 8 = 8, 16, 24, 32 . . . . 136) and also choose the smallest multiple the is precisely divisible by 17 and also 8, i.e., 136.

If the LCM the 8 and 17 is 136, uncover its GCF.

LCM(8, 17) × GCF(8, 17) = 8 × 17Since the LCM the 8 and also 17 = 136⇒ 136 × GCF(8, 17) = 136Therefore, the greatest typical factor = 136/136 = 1.

Which the the complying with is the LCM that 17 and 8? 28, 36, 35, 136

The worth of LCM the 17, 8 is the smallest common multiple the 17 and also 8. The number solve the given condition is 136.

What is the Relation in between GCF and also LCM of 17, 8?

The adhering to equation have the right to be used to express the relation in between GCF and also LCM of 17 and 8, i.e. GCF × LCM = 17 × 8.

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What is the the very least Perfect Square Divisible through 17 and 8?

The least number divisible through 17 and also 8 = LCM(17, 8)LCM that 17 and 8 = 2 × 2 × 2 × 17 ⇒ least perfect square divisible by each 17 and 8 = LCM(17, 8) × 2 × 17 = 4624 Therefore, 4624 is the forced number.