LCM that 6 and 10 is the the smallest number among all usual multiples of 6 and 10. The first few multiples that 6 and also 10 space (6, 12, 18, 24, 30, 36, 42, . . . ) and (10, 20, 30, 40, . . . ) respectively. There space 3 frequently used methods to discover LCM of 6 and also 10 - through listing multiples, by element factorization, and also by division method.

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

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

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

The techniques to discover the LCM of 6 and 10 are explained below.

By division MethodBy Listing MultiplesBy prime Factorization Method

### LCM of 6 and 10 by department Method

To calculation the LCM that 6 and also 10 by the division method, we will divide the numbers(6, 10) by their prime determinants (preferably common). The product of these divisors provides the LCM the 6 and also 10.

Step 3: proceed the procedures until only 1s are left in the last row.

The LCM of 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 of 6 and also 10 by Listing Multiples To calculation the LCM of 6 and 10 through listing out the typical multiples, we deserve to follow the given below steps:

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

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

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### LCM that 6 and 10 by element Factorization

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