LCM the 3 and also 11 is the smallest number amongst all typical multiples that 3 and 11. The first few multiples the 3 and 11 are (3, 6, 9, 12, . . . ) and (11, 22, 33, 44, 55, 66, . . . ) respectively. There space 3 typically used techniques to discover LCM that 3 and also 11 - through listing multiples, by department method, and also by element factorization.

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 1 LCM the 3 and 11 2 List that Methods 3 Solved Examples 4 FAQs

Answer: LCM that 3 and also 11 is 33.

Explanation:

The LCM of two non-zero integers, x(3) and y(11), is the smallest optimistic integer m(33) that is divisible by both x(3) and also y(11) without any type of remainder.

The techniques to find the LCM of 3 and also 11 are defined below.

By Listing MultiplesBy division MethodBy element Factorization Method

### LCM the 3 and 11 through Listing Multiples

To calculate the LCM that 3 and also 11 by listing out the common multiples, we deserve to follow the given below steps:

Step 1: perform a few multiples that 3 (3, 6, 9, 12, . . . ) and also 11 (11, 22, 33, 44, 55, 66, . . . . )Step 2: The usual multiples from the multiples the 3 and also 11 room 33, 66, . . .Step 3: The smallest typical multiple that 3 and 11 is 33.

∴ The least common multiple the 3 and 11 = 33.

### LCM that 3 and also 11 by division Method

To calculation the LCM of 3 and also 11 by the department method, we will certainly divide the numbers(3, 11) by your prime determinants (preferably common). The product of this divisors offers the LCM the 3 and also 11.

Step 3: continue the measures until just 1s room left in the critical row.

The LCM the 3 and 11 is the product of every prime numbers on the left, i.e. LCM(3, 11) by department method = 3 × 11 = 33.

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### LCM the 3 and 11 by prime Factorization

Prime factorization of 3 and 11 is (3) = 31 and (11) = 111 respectively. LCM of 3 and 11 deserve to be obtained by multiply prime determinants raised to your respective highest possible power, i.e. 31 × 111 = 33.Hence, the LCM the 3 and also 11 by element factorization is 33.