LCM that 6 and also 10 is the the smallest number among all common multiples that 6 and also 10. The first couple of multiples of 6 and also 10 room (6, 12, 18, 24, 30, 36, 42, . . . ) and also (10, 20, 30, 40, . . . ) respectively. There space 3 typically used methods to find LCM that 6 and also 10 - by listing multiples, by prime factorization, and by division method.

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

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

The LCM of 2 non-zero integers, x(6) and also y(10), is the smallest confident integer m(30) the is divisible by both x(6) and also y(10) without any type of remainder.

The methods to discover the LCM that 6 and 10 are described below.

By department MethodBy Listing MultiplesBy element Factorization Method

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

To calculate the LCM the 6 and 10 by the division method, we will certainly divide the numbers(6, 10) by your prime determinants (preferably common). The product of this divisors offers the LCM of 6 and 10.

Step 3: proceed the procedures until just 1s are left in the critical row.

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

### LCM of 6 and also 10 by Listing Multiples To calculate the LCM that 6 and also 10 by listing the end the common multiples, we deserve to follow the given below steps:

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

∴ The least usual multiple of 6 and also 10 = 30.

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### LCM of 6 and 10 by element Factorization

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