Least Common Multiple of 30, 35, 735

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

• Least Common Multiple of 30, 35, 735 by common division method
• Least Common Multiple of 30, 35, 735 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 7 x 2 x 1 x 7 = 1470

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 30,35,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,35,735) = 5

common factors(in case of two or more numbers have common factors) = 105

GCF(30,35,735) x common factors =5 x 105 = 525

LCM(30,35,735) = ( 30 × 35 × 735 ) / 525

LCM(30,35,735) = 771750 / 525

LCM(30,35,735) = 1470

∴ Least Common Multiple of 30,35,735 is 1470

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

• LCM of 91, 71, 535
• LCM of 10, 41, 981
• LCM of 78, 65, 613
• LCM of 93, 18, 207
• LCM of 51, 82, 580

1. What is the LCM of 30, 35, 735?

Answer: LCM of 30, 35, 735 is 1470.

2. What are the Factors of 1470?

Answer: Factors of 1470 are . There are integers that are factors of 1470

3. How to Find the LCM of 30, 35, 735 ?

Least Common Multiple of 30, 35, 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, 35, 735) = 2 x 3 x 5 x 7 x 7 = 1470.