Least Common Multiple of 420, 217, 75

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

• Least Common Multiple of 420, 217, 75 by common division method
• Least Common Multiple of 420, 217, 75 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 7 x 4 x 31 x 5 = 65100

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 420,217,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,217,75) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(420,217,75) x common factors =1 x 105 = 105

LCM(420,217,75) = ( 420 × 217 × 75 ) / 105

LCM(420,217,75) = 6835500 / 105

LCM(420,217,75) = 65100

∴ Least Common Multiple of 420,217,75 is 65100

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

• LCM of 585, 196, 39
• LCM of 935, 924, 69
• LCM of 182, 812, 40
• LCM of 872, 309, 72
• LCM of 133, 133, 44

1. What is the LCM of 420, 217, 75?

Answer: LCM of 420, 217, 75 is 65100.

2. What are the Factors of 65100?

Answer: Factors of 65100 are . There are integers that are factors of 65100

3. How to Find the LCM of 420, 217, 75 ?

Least Common Multiple of 420, 217, 75.

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(420, 217, 75) = 2 x 2 x 3 x 5 x 5 x 7 x 31 = 65100.