LCM of 3 and 8 is the smallest number among all common multiples the 3 and also 8. The first couple of multiples that 3 and also 8 are (3, 6, 9, 12, 15, 18, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There room 3 commonly used approaches to find LCM of 3 and also 8 - by prime factorization, by listing multiples, and also by department method.

You are watching: Common denominator of 3 and 8

1. | LCM the 3 and also 8 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 3 and 8 is 24.

**Explanation: **

The LCM of two non-zero integers, x(3) and y(8), is the smallest confident integer m(24) the is divisible by both x(3) and y(8) without any type of remainder.

Let's look in ~ the different methods for finding the LCM of 3 and also 8.

By division MethodBy prime Factorization MethodBy Listing Multiples### LCM that 3 and 8 by division Method

To calculation the LCM of 3 and 8 by the department method, we will certainly divide the numbers(3, 8) by their prime factors (preferably common). The product of this divisors gives the LCM that 3 and 8.

**Step 3:**continue the measures until only 1s are left in the critical row.

The LCM the 3 and also 8 is the product of every prime numbers on the left, i.e. LCM(3, 8) by division method = 2 × 2 × 2 × 3 = 24.

### LCM of 3 and also 8 by prime Factorization

Prime administer of 3 and 8 is (3) = 31 and (2 × 2 × 2) = 23 respectively. LCM the 3 and also 8 deserve to be obtained by multiply prime determinants raised to your respective greatest power, i.e. 23 × 31 = 24.Hence, the LCM the 3 and also 8 by prime factorization is 24.

### LCM that 3 and also 8 by Listing Multiples

To calculate the LCM the 3 and also 8 by listing out the common multiples, we have the right to follow the given listed below steps:

**Step 1:**perform a few multiples that 3 (3, 6, 9, 12, 15, 18, . . . ) and 8 (8, 16, 24, 32, 40, 48, 56, . . . . )

**Step 2:**The usual multiples indigenous the multiples the 3 and also 8 are 24, 48, . . .

**Step 3:**The smallest usual multiple the 3 and 8 is 24.

See more: 103.468 Rounded To The Nearest Liter, How Do You Round To The Nearest Hundred Examples

∴ The least usual multiple the 3 and also 8 = 24.