LCM of 3 and 7 is the smallest number amongst all typical multiples that 3 and 7. The first couple of multiples that 3 and 7 are (3, 6, 9, 12, 15, 18, . . . ) and (7, 14, 21, 28, 35, . . . ) respectively. There space 3 typically used techniques to discover LCM that 3 and also 7 - by listing multiples, by department method, and by prime factorization.

You are watching: Lowest common multiple of 3 and 7

1. | LCM of 3 and also 7 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** LCM of 3 and also 7 is 21.

**Explanation: **

The LCM of two non-zero integers, x(3) and y(7), is the smallest optimistic integer m(21) the is divisible through both x(3) and y(7) without any remainder.

The techniques to uncover the LCM the 3 and also 7 are described below.

By element Factorization MethodBy Listing MultiplesBy department Method### LCM of 3 and also 7 by prime Factorization

Prime administrate of 3 and also 7 is (3) = 31 and also (7) = 71 respectively. LCM of 3 and also 7 have the right to be acquired by multiplying prime factors raised to their respective greatest power, i.e. 31 × 71 = 21.Hence, the LCM of 3 and 7 by element factorization is 21.

### LCM that 3 and 7 by Listing Multiples

To calculation the LCM that 3 and 7 by listing out the typical multiples, we can follow the given below steps:

**Step 1:**perform a couple of multiples of 3 (3, 6, 9, 12, 15, 18, . . . ) and 7 (7, 14, 21, 28, 35, . . . . )

**Step 2:**The common multiples native the multiples the 3 and 7 room 21, 42, . . .

**Step 3:**The smallest common multiple of 3 and also 7 is 21.

∴ The least usual multiple that 3 and 7 = 21.

### LCM the 3 and also 7 by division Method

To calculate the LCM that 3 and also 7 through the department method, we will certainly divide the numbers(3, 7) by your prime components (preferably common). The product of these divisors offers the LCM the 3 and also 7.

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

See more: How Did The Abolitionist Movement That Arose In The 1830S Differ From Earlier Antislavery Efforts?

The LCM the 3 and 7 is the product of every prime number on the left, i.e. LCM(3, 7) by department method = 3 × 7 = 21.