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

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

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

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

The approaches to find the LCM the 6 and also 10 are defined below.

By department MethodBy Listing MultiplesBy element Factorization Method

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

To calculate the LCM the 6 and 10 through the department method, we will divide the numbers(6, 10) by their prime components (preferably common). The product of these divisors offers the LCM that 6 and also 10.

Step 3: continue the measures until only 1s space left in the last row.

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

### LCM of 6 and 10 by Listing Multiples To calculate the LCM the 6 and 10 through listing out the common multiples, we can follow the given listed below steps:

Step 1: perform a few multiples of 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and 10 (10, 20, 30, 40, . . . . )Step 2: The common multiples native the multiples of 6 and also 10 space 30, 60, . . .Step 3: The smallest typical multiple that 6 and 10 is 30.

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

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### LCM the 6 and 10 by prime Factorization

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