LCM that 10 and also 15 is the the smallest number amongst all usual multiples of 10 and also 15. The first couple of multiples of 10 and also 15 space (10, 20, 30, 40, 50, 60, 70, . . . ) and also (15, 30, 45, 60, 75, 90, . . . ) respectively. There are 3 typically used methods to find LCM the 10 and also 15 - by element factorization, by division method, and also by listing multiples.

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 1 LCM of 10 and also 15 2 List that 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 also y(15), is the smallest hopeful integer m(30) that is divisible through both x(10) and also y(15) without any kind of remainder.

The methods to uncover the LCM the 10 and also 15 are defined below.

By department MethodBy Listing MultiplesBy prime Factorization Method

### LCM of 10 and also 15 by division Method

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

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

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

### LCM that 10 and 15 by Listing Multiples

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

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

∴ The least typical multiple that 10 and 15 = 30.

See more: Is A Number Relatively Prime To Itself ? What Are Relatively Prime Numbers

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

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