Least Common Multiple of 75, 135, 165

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

• Least Common Multiple of 75, 135, 165 by common division method
• Least Common Multiple of 75, 135, 165 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 5 x 9 x 11 = 7425

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 75,135,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,135,165) = 15

common factors(in case of two or more numbers have common factors) = 15

GCF(75,135,165) x common factors =15 x 15 = 225

LCM(75,135,165) = ( 75 × 135 × 165 ) / 225

LCM(75,135,165) = 1670625 / 225

LCM(75,135,165) = 7425

∴ Least Common Multiple of 75,135,165 is 7425

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

• LCM of 99, 683, 460
• LCM of 79, 505, 383
• LCM of 16, 774, 541
• LCM of 18, 770, 146
• LCM of 91, 382, 647

1. What is the LCM of 75, 135, 165?

Answer: LCM of 75, 135, 165 is 7425.

2. What are the Factors of 7425?

Answer: Factors of 7425 are . There are integers that are factors of 7425

3. How to Find the LCM of 75, 135, 165 ?

Least Common Multiple of 75, 135, 165.

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(75, 135, 165) = 3 x 3 x 3 x 5 x 5 x 11 = 7425.