LCM the 5 and 10 is the the smallest number amongst all usual multiples that 5 and 10. The first few multiples the 5 and 10 room (5, 10, 15, 20, 25, 30, 35, . . . ) and (10, 20, 30, 40, . . . ) respectively. There room 3 generally used approaches to find LCM of 5 and 10 - by department method, by listing multiples, and also by element factorization.

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1. | LCM the 5 and also 10 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 5 and 10 is 10.

**Explanation: **

The LCM of two non-zero integers, x(5) and also y(10), is the smallest positive integer m(10) that is divisible through both x(5) and also y(10) without any type of remainder.

The methods to find the LCM the 5 and 10 are described below.

By division MethodBy prime Factorization MethodBy Listing Multiples### LCM that 5 and also 10 by division Method

To calculation the LCM the 5 and 10 through the department method, we will certainly divide the numbers(5, 10) by their prime components (preferably common). The product of this divisors gives the LCM the 5 and also 10.

**Step 3:**proceed the steps until only 1s space left in the last row.

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

### LCM that 5 and 10 by prime Factorization

Prime administer of 5 and 10 is (5) = 51 and (2 × 5) = 21 × 51 respectively. LCM of 5 and also 10 can be acquired by multiply prime factors raised to their respective highest possible power, i.e. 21 × 51 = 10.Hence, the LCM that 5 and also 10 by prime factorization is 10.

### LCM the 5 and also 10 through Listing Multiples

To calculation the LCM of 5 and also 10 by listing the end the typical multiples, we have the right to follow the given listed below steps:

**Step 1:**perform a couple of multiples of 5 (5, 10, 15, 20, 25, 30, 35, . . . ) and 10 (10, 20, 30, 40, . . . . )

**Step 2:**The usual multiples from the multiples the 5 and 10 are 10, 20, . . .

**Step 3:**The smallest typical multiple that 5 and 10 is 10.

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∴ The least usual multiple the 5 and also 10 = 10.