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

You are watching: Lowest common multiple of 6 and 10

1. | LCM that 6 and 10 |

2. | List of Methods |

3. | Solved Examples |

4. | FAQs |

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

**Explanation: **

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

The techniques to discover the LCM of 6 and 10 are explained below.

By division MethodBy Listing MultiplesBy prime Factorization Method### LCM of 6 and 10 by department Method

To calculation the LCM that 6 and also 10 by the division method, we will divide the numbers(6, 10) by their prime determinants (preferably common). The product of these divisors provides the LCM the 6 and also 10.

**Step 3:**proceed the procedures until only 1s are left in the last row.

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

### LCM of 6 and also 10 by Listing Multiples

To calculation the LCM of 6 and 10 through listing out the typical multiples, we deserve to follow the given below steps:

**Step 1:**list a couple of multiples the 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and also 10 (10, 20, 30, 40, . . . . )

**Step 2:**The usual multiples indigenous the multiples the 6 and 10 are 30, 60, . . .

**Step 3:**The smallest common multiple that 6 and also 10 is 30.

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

See more: Distance From Phoenix Arizona To El Paso Texas, El Paso To Phoenix Distance (Elp To Phx)

### LCM that 6 and 10 by element Factorization

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