Least Common Multiple of 57, 36, 45, 15

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

• Least Common Multiple of 57, 36, 45, 15 by common division method
• Least Common Multiple of 57, 36, 45, 15 with GCF Formula

∴ So the LCM of the given numbers is 3 x 3 x 5 x 19 x 4 x 1 x 1 = 3420

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 57,36,45,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,36,45,15) = 3

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

GCF(57,36,45,15) x common factors =3 x 135 = 405

LCM(57,36,45,15) = ( 57 × 36 × 45 × 15 ) / 405

LCM(57,36,45,15) = 1385100 / 405

LCM(57,36,45,15) = 3420

∴ Least Common Multiple of 57,36,45,15 is 3420

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

• LCM of 31, 93, 25, 91
• LCM of 37, 14, 82, 16
• LCM of 43, 31, 47, 80
• LCM of 52, 80, 11, 57
• LCM of 27, 96, 70, 85

1. What is the LCM of 57, 36, 45, 15?

Answer: LCM of 57, 36, 45, 15 is 3420.

2. What are the Factors of 3420?

Answer: Factors of 3420 are . There are integers that are factors of 3420

3. How to Find the LCM of 57, 36, 45, 15 ?

Least Common Multiple of 57, 36, 45, 15.

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(57, 36, 45, 15) = 2 x 2 x 3 x 3 x 5 x 19 = 3420.