Least Common Multiple of 450, 564, 75

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

• Least Common Multiple of 450, 564, 75 by common division method
• Least Common Multiple of 450, 564, 75 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 94 x 3 = 42300

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 450,564,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,564,75) = 3

common factors(in case of two or more numbers have common factors) = 150

GCF(450,564,75) x common factors =3 x 150 = 450

LCM(450,564,75) = ( 450 × 564 × 75 ) / 450

LCM(450,564,75) = 19035000 / 450

LCM(450,564,75) = 42300

∴ Least Common Multiple of 450,564,75 is 42300

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

• LCM of 439, 336, 40
• LCM of 307, 404, 50
• LCM of 153, 848, 69
• LCM of 410, 301, 23
• LCM of 143, 850, 18

1. What is the LCM of 450, 564, 75?

Answer: LCM of 450, 564, 75 is 42300.

2. What are the Factors of 42300?

Answer: Factors of 42300 are . There are integers that are factors of 42300

3. How to Find the LCM of 450, 564, 75 ?

Least Common Multiple of 450, 564, 75.

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(450, 564, 75) = 2 x 2 x 3 x 3 x 5 x 5 x 47 = 42300.