Least Common Multiple of 45, 75, 459

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

• Least Common Multiple of 45, 75, 459 by common division method
• Least Common Multiple of 45, 75, 459 with GCF Formula

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 5 x 51 = 11475

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 45,75,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,75,459) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(45,75,459) x common factors =3 x 45 = 135

LCM(45,75,459) = ( 45 × 75 × 459 ) / 135

LCM(45,75,459) = 1549125 / 135

LCM(45,75,459) = 11475

∴ Least Common Multiple of 45,75,459 is 11475

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

• LCM of 43, 28, 174
• LCM of 41, 61, 533
• LCM of 18, 33, 799
• LCM of 66, 20, 833
• LCM of 16, 67, 625

1. What is the LCM of 45, 75, 459?

Answer: LCM of 45, 75, 459 is 11475.

2. What are the Factors of 11475?

Answer: Factors of 11475 are . There are integers that are factors of 11475

3. How to Find the LCM of 45, 75, 459 ?

Least Common Multiple of 45, 75, 459.

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(45, 75, 459) = 3 x 3 x 3 x 5 x 5 x 17 = 11475.