Least Common Multiple of 49, 75, 315

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

• Least Common Multiple of 49, 75, 315 by common division method
• Least Common Multiple of 49, 75, 315 with GCF Formula

∴ So the LCM of the given numbers is 3 x 5 x 7 x 7 x 5 x 3 = 11025

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 49,75,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,75,315) = 1

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

GCF(49,75,315) x common factors =1 x 105 = 105

LCM(49,75,315) = ( 49 × 75 × 315 ) / 105

LCM(49,75,315) = 1157625 / 105

LCM(49,75,315) = 11025

∴ Least Common Multiple of 49,75,315 is 11025

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

• LCM of 38, 20, 855
• LCM of 88, 81, 805
• LCM of 68, 25, 530
• LCM of 73, 71, 940
• LCM of 64, 70, 686

1. What is the LCM of 49, 75, 315?

Answer: LCM of 49, 75, 315 is 11025.

2. What are the Factors of 11025?

Answer: Factors of 11025 are . There are integers that are factors of 11025

3. How to Find the LCM of 49, 75, 315 ?

Least Common Multiple of 49, 75, 315.

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(49, 75, 315) = 3 x 3 x 5 x 5 x 7 x 7 = 11025.