Least Common Multiple of 75, 287, 420

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

• Least Common Multiple of 75, 287, 420 by common division method
• Least Common Multiple of 75, 287, 420 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 7 x 5 x 41 x 4 = 86100

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 75,287,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,287,420) = 1

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

GCF(75,287,420) x common factors =1 x 105 = 105

LCM(75,287,420) = ( 75 × 287 × 420 ) / 105

LCM(75,287,420) = 9040500 / 105

LCM(75,287,420) = 86100

∴ Least Common Multiple of 75,287,420 is 86100

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

• LCM of 34, 644, 447
• LCM of 59, 421, 142
• LCM of 78, 619, 368
• LCM of 85, 112, 679
• LCM of 54, 569, 383

1. What is the LCM of 75, 287, 420?

Answer: LCM of 75, 287, 420 is 86100.

2. What are the Factors of 86100?

Answer: Factors of 86100 are . There are integers that are factors of 86100

3. How to Find the LCM of 75, 287, 420 ?

Least Common Multiple of 75, 287, 420.

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, 287, 420) = 2 x 2 x 3 x 5 x 5 x 7 x 41 = 86100.