Least Common Multiple of 506, 69, 30

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

• Least Common Multiple of 506, 69, 30 by common division method
• Least Common Multiple of 506, 69, 30 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 23 x 11 x 1 x 5 = 7590

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 506,69,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,69,30) = 1

common factors(in case of two or more numbers have common factors) = 138

GCF(506,69,30) x common factors =1 x 138 = 138

LCM(506,69,30) = ( 506 × 69 × 30 ) / 138

LCM(506,69,30) = 1047420 / 138

LCM(506,69,30) = 7590

∴ Least Common Multiple of 506,69,30 is 7590

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

• LCM of 885, 33, 37
• LCM of 621, 44, 13
• LCM of 763, 11, 34
• LCM of 214, 50, 30
• LCM of 446, 59, 88

1. What is the LCM of 506, 69, 30?

Answer: LCM of 506, 69, 30 is 7590.

2. What are the Factors of 7590?

Answer: Factors of 7590 are . There are integers that are factors of 7590

3. How to Find the LCM of 506, 69, 30 ?

Least Common Multiple of 506, 69, 30.

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(506, 69, 30) = 2 x 3 x 5 x 11 x 23 = 7590.