LCM the 8 and also 11 is the smallest number amongst all typical multiples of 8 and also 11. The first few multiples that 8 and also 11 space (8, 16, 24, 32, . . . ) and also (11, 22, 33, 44, . . . ) respectively. There space 3 typically used methods to uncover LCM of 8 and 11 - by prime factorization, by listing multiples, and also by department method.

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1.LCM the 8 and 11
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 8 and also 11 is 88.

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Explanation:

The LCM of 2 non-zero integers, x(8) and y(11), is the smallest optimistic integer m(88) the is divisible through both x(8) and y(11) without any type of remainder.


Let's look at the various methods because that finding the LCM the 8 and also 11.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM that 8 and 11 by element Factorization

Prime administer of 8 and 11 is (2 × 2 × 2) = 23 and also (11) = 111 respectively. LCM the 8 and 11 have the right to be derived by multiply prime determinants raised to their respective highest possible power, i.e. 23 × 111 = 88.Hence, the LCM that 8 and 11 by prime factorization is 88.

LCM the 8 and 11 by department Method

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To calculation the LCM that 8 and also 11 by the department method, we will divide the numbers(8, 11) by your prime determinants (preferably common). The product of this divisors provides the LCM the 8 and 11.

Step 3: proceed the steps until just 1s are left in the last row.

The LCM the 8 and 11 is the product of every prime numbers on the left, i.e. LCM(8, 11) by division method = 2 × 2 × 2 × 11 = 88.

LCM of 8 and also 11 by Listing Multiples

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To calculation the LCM of 8 and 11 through listing out the usual multiples, we deserve to follow the given listed below steps:

Step 1: list a few multiples that 8 (8, 16, 24, 32, . . . ) and also 11 (11, 22, 33, 44, . . . . )Step 2: The usual multiples native the multiples the 8 and also 11 are 88, 176, . . .Step 3: The smallest typical multiple of 8 and also 11 is 88.

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∴ The least usual multiple of 8 and also 11 = 88.