Least Common Multiple of 30, 56, 735

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

• Least Common Multiple of 30, 56, 735 by common division method
• Least Common Multiple of 30, 56, 735 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 4 x 7 = 5880

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 30,56,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,56,735) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(30,56,735) x common factors =1 x 210 = 210

LCM(30,56,735) = ( 30 × 56 × 735 ) / 210

LCM(30,56,735) = 1234800 / 210

LCM(30,56,735) = 5880

∴ Least Common Multiple of 30,56,735 is 5880

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

• LCM of 72, 28, 960
• LCM of 92, 53, 882
• LCM of 61, 68, 621
• LCM of 97, 50, 932
• LCM of 11, 46, 808

1. What is the LCM of 30, 56, 735?

Answer: LCM of 30, 56, 735 is 5880.

2. What are the Factors of 5880?

Answer: Factors of 5880 are . There are integers that are factors of 5880

3. How to Find the LCM of 30, 56, 735 ?

Least Common Multiple of 30, 56, 735.

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(30, 56, 735) = 2 x 2 x 2 x 3 x 5 x 7 x 7 = 5880.