Least Common Multiple of 84, 12, 75, 12

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

• Least Common Multiple of 84, 12, 75, 12 by common division method
• Least Common Multiple of 84, 12, 75, 12 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 25 x 1 = 2100

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 84,12,75,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,12,75,12) = 3

common factors(in case of two or more numbers have common factors) = 144

GCF(84,12,75,12) x common factors =3 x 144 = 432

LCM(84,12,75,12) = ( 84 × 12 × 75 × 12 ) / 432

LCM(84,12,75,12) = 907200 / 432

LCM(84,12,75,12) = 2100

∴ Least Common Multiple of 84,12,75,12 is 2100

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

• LCM of 87, 34, 64, 17
• LCM of 39, 42, 65, 45
• LCM of 21, 45, 89, 41
• LCM of 31, 45, 42, 19
• LCM of 73, 96, 49, 57

1. What is the LCM of 84, 12, 75, 12?

Answer: LCM of 84, 12, 75, 12 is 2100.

2. What are the Factors of 2100?

Answer: Factors of 2100 are . There are integers that are factors of 2100

3. How to Find the LCM of 84, 12, 75, 12 ?

Least Common Multiple of 84, 12, 75, 12.

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, 12, 75, 12) = 2 x 2 x 3 x 5 x 5 x 7 = 2100.