Least Common Multiple of 75, 45, 55, 21

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

• Least Common Multiple of 75, 45, 55, 21 by common division method
• Least Common Multiple of 75, 45, 55, 21 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 5 x 3 x 11 x 7 = 17325

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 75,45,55,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,45,55,21) = 1

common factors(in case of two or more numbers have common factors) = 225

GCF(75,45,55,21) x common factors =1 x 225 = 225

LCM(75,45,55,21) = ( 75 × 45 × 55 × 21 ) / 225

LCM(75,45,55,21) = 3898125 / 225

LCM(75,45,55,21) = 17325

∴ Least Common Multiple of 75,45,55,21 is 17325

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

• LCM of 97, 90, 67, 50
• LCM of 90, 49, 16, 81
• LCM of 90, 92, 44, 16
• LCM of 60, 63, 25, 57
• LCM of 80, 16, 18, 92

1. What is the LCM of 75, 45, 55, 21?

Answer: LCM of 75, 45, 55, 21 is 17325.

2. What are the Factors of 17325?

Answer: Factors of 17325 are . There are integers that are factors of 17325

3. How to Find the LCM of 75, 45, 55, 21 ?

Least Common Multiple of 75, 45, 55, 21.

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, 45, 55, 21) = 3 x 3 x 5 x 5 x 7 x 11 = 17325.