Least Common Multiple of 69, 75, 120

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

• Least Common Multiple of 69, 75, 120 by common division method
• Least Common Multiple of 69, 75, 120 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 23 x 5 x 8 = 13800

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 69,75,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,75,120) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(69,75,120) x common factors =3 x 15 = 45

LCM(69,75,120) = ( 69 × 75 × 120 ) / 45

LCM(69,75,120) = 621000 / 45

LCM(69,75,120) = 13800

∴ Least Common Multiple of 69,75,120 is 13800

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

• LCM of 37, 80, 387
• LCM of 55, 47, 735
• LCM of 93, 31, 734
• LCM of 26, 63, 892
• LCM of 63, 28, 206

1. What is the LCM of 69, 75, 120?

Answer: LCM of 69, 75, 120 is 13800.

2. What are the Factors of 13800?

Answer: Factors of 13800 are . There are integers that are factors of 13800

3. How to Find the LCM of 69, 75, 120 ?

Least Common Multiple of 69, 75, 120.

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(69, 75, 120) = 2 x 2 x 2 x 3 x 5 x 5 x 23 = 13800.