Least Common Multiple of 105, 147, 189

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

• Least Common Multiple of 105, 147, 189 by common division method
• Least Common Multiple of 105, 147, 189 with GCF Formula

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

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) 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

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

• LCM of 382, 152, 146
• LCM of 459, 439, 363
• LCM of 630, 395, 368
• LCM of 624, 902, 765
• LCM of 685, 111, 806

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.