LCM the 6 and 10 is the the smallest number amongst all common multiples the 6 and 10. The first few multiples of 6 and 10 are (6, 12, 18, 24, 30, 36, 42, . . . ) and (10, 20, 30, 40, . . . ) respectively. There are 3 generally used techniques to discover LCM that 6 and 10 - through listing multiples, by element factorization, and by division method.

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 1 LCM that 6 and also 10 2 List of Methods 3 Solved Examples 4 FAQs

Answer: LCM the 6 and 10 is 30. Explanation:

The LCM of two non-zero integers, x(6) and also y(10), is the smallest confident integer m(30) that is divisible by both x(6) and also y(10) without any type of remainder.

The approaches to uncover the LCM the 6 and 10 are described below.

By division MethodBy Listing MultiplesBy element Factorization Method

### LCM of 6 and also 10 by department Method

To calculate the LCM that 6 and also 10 by the department method, we will divide the numbers(6, 10) by their prime components (preferably common). The product of these divisors offers the LCM that 6 and also 10.

Step 3: continue the measures until only 1s room left in the last row.

The LCM the 6 and 10 is the product of every prime numbers on the left, i.e. LCM(6, 10) by division method = 2 × 3 × 5 = 30.

### LCM that 6 and also 10 by Listing Multiples To calculate the LCM the 6 and also 10 by listing out the typical multiples, we have the right to follow the given below steps:

Step 1: list a few multiples the 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and also 10 (10, 20, 30, 40, . . . . )Step 2: The common multiples native the multiples of 6 and also 10 space 30, 60, . . .Step 3: The smallest common multiple the 6 and also 10 is 30.

∴ The least common multiple the 6 and 10 = 30.

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### LCM of 6 and also 10 by element Factorization

Prime factorization of 6 and also 10 is (2 × 3) = 21 × 31 and (2 × 5) = 21 × 51 respectively. LCM the 6 and 10 have the right to be derived by multiplying prime determinants raised to their respective highest possible power, i.e. 21 × 31 × 51 = 30.Hence, the LCM the 6 and 10 by prime factorization is 30.