Least Common Multiple of 74, 135, 405

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

• Least Common Multiple of 74, 135, 405 by common division method
• Least Common Multiple of 74, 135, 405 with GCF Formula

∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 74 x 1 x 3 = 29970

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 74,135,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,135,405) = 1

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

GCF(74,135,405) x common factors =1 x 135 = 135

LCM(74,135,405) = ( 74 × 135 × 405 ) / 135

LCM(74,135,405) = 4045950 / 135

LCM(74,135,405) = 29970

∴ Least Common Multiple of 74,135,405 is 29970

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

• LCM of 32, 891, 120
• LCM of 18, 942, 646
• LCM of 11, 777, 506
• LCM of 55, 628, 167
• LCM of 92, 462, 979

1. What is the LCM of 74, 135, 405?

Answer: LCM of 74, 135, 405 is 29970.

2. What are the Factors of 29970?

Answer: Factors of 29970 are . There are integers that are factors of 29970

3. How to Find the LCM of 74, 135, 405 ?

Least Common Multiple of 74, 135, 405.

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(74, 135, 405) = 2 x 3 x 3 x 3 x 3 x 5 x 37 = 29970.