LCM the 3 and also 12 is the the smallest number among all common multiples the 3 and 12. The first few multiples the 3 and 12 space (3, 6, 9, 12, 15, 18, 21, . . . ) and also (12, 24, 36, 48, 60, . . . ) respectively. There room 3 typically used approaches to discover LCM of 3 and 12 - by element factorization, by listing multiples, and by division method.

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1. | LCM that 3 and also 12 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM the 3 and also 12 is 12.

**Explanation: **

The LCM of two non-zero integers, x(3) and also y(12), is the smallest positive integer m(12) that is divisible through both x(3) and also y(12) without any type of remainder.

The methods to uncover the LCM of 3 and also 12 are described below.

By prime Factorization MethodBy Listing MultiplesBy department Method### LCM of 3 and also 12 by prime Factorization

Prime administer of 3 and 12 is (3) = 31 and also (2 × 2 × 3) = 22 × 31 respectively. LCM that 3 and also 12 can be obtained by multiplying prime determinants raised to your respective highest possible power, i.e. 22 × 31 = 12.Hence, the LCM that 3 and 12 by prime factorization is 12.

### LCM the 3 and also 12 by Listing Multiples

To calculation the LCM of 3 and also 12 by listing the end the typical multiples, we can follow the given listed below steps:

**Step 1:**list a couple of multiples of 3 (3, 6, 9, 12, 15, 18, 21, . . . ) and also 12 (12, 24, 36, 48, 60, . . . . )

**Step 2:**The usual multiples from the multiples of 3 and also 12 room 12, 24, . . .

**Step 3:**The smallest usual multiple that 3 and also 12 is 12.

∴ The least typical multiple of 3 and 12 = 12.

### LCM of 3 and 12 by department Method

To calculation the LCM of 3 and also 12 through the department method, we will divide the numbers(3, 12) by their prime components (preferably common). The product of this divisors provides the LCM of 3 and 12.

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

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The LCM that 3 and 12 is the product of every prime number on the left, i.e. LCM(3, 12) by division method = 2 × 2 × 3 = 12.