Least Common Multiple of 45, 99, 87

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

• Least Common Multiple of 45, 99, 87 by common division method
• Least Common Multiple of 45, 99, 87 with GCF Formula

∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 29 = 14355

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 45,99,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,99,87) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(45,99,87) x common factors =3 x 9 = 27

LCM(45,99,87) = ( 45 × 99 × 87 ) / 27

LCM(45,99,87) = 387585 / 27

LCM(45,99,87) = 14355

∴ Least Common Multiple of 45,99,87 is 14355

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

• LCM of 61, 29, 75
• LCM of 24, 83, 66
• LCM of 34, 17, 46
• LCM of 97, 13, 70
• LCM of 77, 30, 88

1. What is the LCM of 45, 99, 87?

Answer: LCM of 45, 99, 87 is 14355.

2. What are the Factors of 14355?

Answer: Factors of 14355 are . There are integers that are factors of 14355

3. How to Find the LCM of 45, 99, 87 ?

Least Common Multiple of 45, 99, 87.

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, 99, 87) = 3 x 3 x 5 x 11 x 29 = 14355.