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

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1. | LCM of 3 and 7 |

2. | List of Methods |

3. | Solved Examples |

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

**Explanation: **

The LCM of 2 non-zero integers, x(3) and y(7), is the smallest confident integer m(21) the is divisible by both x(3) and also y(7) without any remainder.

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

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

Prime administer of 3 and also 7 is (3) = 31 and also (7) = 71 respectively. LCM the 3 and also 7 can be acquired by multiplying prime determinants raised to their respective highest power, i.e. 31 × 71 = 21.Hence, the LCM the 3 and also 7 by prime factorization is 21.

### LCM that 3 and also 7 by Listing Multiples

To calculation the LCM the 3 and also 7 through listing the end the common multiples, we have the right to follow the given listed below steps:

**Step 1:**list a few multiples the 3 (3, 6, 9, 12, 15, 18, . . . ) and also 7 (7, 14, 21, 28, 35, . . . . )

**Step 2:**The typical multiples indigenous the multiples of 3 and 7 room 21, 42, . . .

**Step 3:**The smallest usual multiple that 3 and also 7 is 21.

∴ The least common multiple of 3 and 7 = 21.

### LCM that 3 and 7 by division Method

To calculate the LCM that 3 and 7 through the division method, we will certainly divide the numbers(3, 7) by your prime factors (preferably common). The product of this divisors provides the LCM the 3 and also 7.

**Step 3:**proceed the steps until just 1s are left in the critical row.

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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.