Least Common Multiple of 585, 675, 54

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

• Least Common Multiple of 585, 675, 54 by common division method
• Least Common Multiple of 585, 675, 54 with GCF Formula

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 13 x 5 x 2 = 17550

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 585,675,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,675,54) = 9

common factors(in case of two or more numbers have common factors) = 135

GCF(585,675,54) x common factors =9 x 135 = 1215

LCM(585,675,54) = ( 585 × 675 × 54 ) / 1215

LCM(585,675,54) = 21323250 / 1215

LCM(585,675,54) = 17550

∴ Least Common Multiple of 585,675,54 is 17550

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

• LCM of 680, 244, 41
• LCM of 924, 144, 12
• LCM of 758, 774, 79
• LCM of 901, 248, 72
• LCM of 630, 965, 64

1. What is the LCM of 585, 675, 54?

Answer: LCM of 585, 675, 54 is 17550.

2. What are the Factors of 17550?

Answer: Factors of 17550 are . There are integers that are factors of 17550

3. How to Find the LCM of 585, 675, 54 ?

Least Common Multiple of 585, 675, 54.

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(585, 675, 54) = 2 x 3 x 3 x 3 x 5 x 5 x 13 = 17550.