Least Common Multiple of 84, 75, 900

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

• Least Common Multiple of 84, 75, 900 by common division method
• Least Common Multiple of 84, 75, 900 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 7 x 1 x 3 = 6300

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 84,75,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,75,900) = 3

common factors(in case of two or more numbers have common factors) = 300

GCF(84,75,900) x common factors =3 x 300 = 900

LCM(84,75,900) = ( 84 × 75 × 900 ) / 900

LCM(84,75,900) = 5670000 / 900

LCM(84,75,900) = 6300

∴ Least Common Multiple of 84,75,900 is 6300

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

• LCM of 97, 77, 154
• LCM of 41, 75, 795
• LCM of 78, 18, 306
• LCM of 28, 95, 249
• LCM of 37, 84, 825

1. What is the LCM of 84, 75, 900?

Answer: LCM of 84, 75, 900 is 6300.

2. What are the Factors of 6300?

Answer: Factors of 6300 are . There are integers that are factors of 6300

3. How to Find the LCM of 84, 75, 900 ?

Least Common Multiple of 84, 75, 900.

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(84, 75, 900) = 2 x 2 x 3 x 3 x 5 x 5 x 7 = 6300.