LCM of 10 and also 15 is the smallest number among all common multiples that 10 and also 15. The first few multiples of 10 and also 15 space (10, 20, 30, 40, 50, 60, 70, . . . ) and (15, 30, 45, 60, 75, 90, . . . ) respectively. There space 3 commonly used approaches to uncover LCM that 10 and 15 - by element factorization, by division method, and also by listing multiples.

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

Answer: LCM the 10 and also 15 is 30.

Explanation:

The LCM of 2 non-zero integers, x(10) and y(15), is the smallest confident integer m(30) that is divisible by both x(10) and also y(15) without any remainder.

The methods to find the LCM that 10 and also 15 are described below.

By division MethodBy Listing MultiplesBy element Factorization Method

### LCM that 10 and also 15 by department Method

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

Step 3: proceed the measures until just 1s room left in the last row.

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

### LCM the 10 and also 15 through Listing Multiples

To calculation the LCM the 10 and 15 through listing the end the common multiples, we have the right to follow the given listed below steps:

Step 1: list a few multiples of 10 (10, 20, 30, 40, 50, 60, 70, . . . ) and also 15 (15, 30, 45, 60, 75, 90, . . . . )Step 2: The usual multiples from the multiples the 10 and 15 are 30, 60, . . .Step 3: The smallest typical multiple the 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 element Factorization

Prime administer of 10 and also 15 is (2 × 5) = 21 × 51 and (3 × 5) = 31 × 51 respectively. LCM that 10 and also 15 have the right to be acquired by multiplying prime components raised to their respective greatest power, i.e. 21 × 31 × 51 = 30.Hence, the LCM that 10 and also 15 by element factorization is 30.