LCM the 10 and also 15 is the smallest number amongst all usual multiples of 10 and also 15. The first few multiples the 10 and 15 are (10, 20, 30, 40, 50, 60, 70, . . . ) and (15, 30, 45, 60, 75, 90, . . . ) respectively. There are 3 generally used techniques to uncover LCM the 10 and 15 - by prime factorization, by department method, and by listing multiples.

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 1 LCM of 10 and also 15 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM of 10 and also 15 is 30.

Explanation:

The LCM of two non-zero integers, x(10) and y(15), is the smallest confident integer m(30) the is divisible through both x(10) and y(15) without any type of remainder.

The approaches to discover the LCM of 10 and also 15 are explained below.

By department MethodBy Listing MultiplesBy prime Factorization Method

### LCM of 10 and 15 by division Method

To calculate the LCM that 10 and also 15 by the department method, we will certainly divide the numbers(10, 15) by their prime components (preferably common). The product of this divisors provides the LCM that 10 and 15.

Step 3: proceed the measures until only 1s are left in the critical row.

The LCM that 10 and 15 is the product of all prime numbers on the left, i.e. LCM(10, 15) by department method = 2 × 3 × 5 = 30.

### LCM the 10 and 15 by Listing Multiples

To calculate the LCM of 10 and 15 through listing out the common multiples, we have the right to follow the given below steps:

Step 1: perform a couple of multiples of 10 (10, 20, 30, 40, 50, 60, 70, . . . ) and 15 (15, 30, 45, 60, 75, 90, . . . . )Step 2: The common multiples indigenous the multiples the 10 and also 15 room 30, 60, . . .Step 3: The smallest common multiple that 10 and 15 is 30.

∴ The least common multiple of 10 and 15 = 30.

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### LCM that 10 and also 15 by prime Factorization

Prime administrate of 10 and also 15 is (2 × 5) = 21 × 51 and (3 × 5) = 31 × 51 respectively. LCM of 10 and 15 can be acquired by multiplying prime determinants raised to your respective highest possible power, i.e. 21 × 31 × 51 = 30.Hence, the LCM that 10 and also 15 by element factorization is 30.