Least Common Multiple of 120, 111, 84

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

• Least Common Multiple of 120, 111, 84 by common division method
• Least Common Multiple of 120, 111, 84 with GCF Formula

∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 37 x 7 = 31080

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 120,111,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,111,84) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(120,111,84) x common factors =3 x 12 = 36

LCM(120,111,84) = ( 120 × 111 × 84 ) / 36

LCM(120,111,84) = 1118880 / 36

LCM(120,111,84) = 31080

∴ Least Common Multiple of 120,111,84 is 31080

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

• LCM of 597, 987, 89
• LCM of 763, 722, 48
• LCM of 506, 339, 36
• LCM of 362, 518, 47
• LCM of 796, 287, 92

1. What is the LCM of 120, 111, 84?

Answer: LCM of 120, 111, 84 is 31080.

2. What are the Factors of 31080?

Answer: Factors of 31080 are . There are integers that are factors of 31080

3. How to Find the LCM of 120, 111, 84 ?

Least Common Multiple of 120, 111, 84.

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(120, 111, 84) = 2 x 2 x 2 x 3 x 5 x 7 x 37 = 31080.