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Least Common Multiple of 105, 147, 189

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 105, 147, 189 i.e. 6615 smallest integer divisible by all numbers.

Least common multiple (LCM) of 105, 147, 189 is 6615.

LCM(105, 147, 189) = 6615

LCM of 105, 147, 189

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple (LCM) of 105,147,189 By Common Division

3 105, 147, 189
7 35, 49, 63
5, 7, 9

∴ So the LCM of the given numbers is 3 x 7 x 5 x 7 x 9 = 6615

Least Common Multiple of 105,147,189 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 105,147,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,147,189) = 21

common factors(in case of two or more numbers have common factors) = 21

GCF(105,147,189) x common factors =21 x 21 = 441

LCM(105,147,189) = ( 105 × 147 × 189 ) / 441

LCM(105,147,189) = 2917215 / 441

LCM(105,147,189) = 6615

∴ Least Common Multiple of 105,147,189 is 6615

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 105, 147, 189

1. What is the LCM of 105, 147, 189?

Answer: LCM of 105, 147, 189 is 6615.

2. What are the Factors of 6615?

Answer: Factors of 6615 are . There are integers that are factors of 6615

3. How to Find the LCM of 105, 147, 189 ?

Least Common Multiple of 105, 147, 189.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(105, 147, 189) = 3 x 3 x 3 x 5 x 7 x 7 = 6615.