Least Common Multiple of 30, 90, 70, 150

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

• Least Common Multiple of 30, 90, 70, 150 by common division method
• Least Common Multiple of 30, 90, 70, 150 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 3 x 7 x 5 = 3150

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 30,90,70,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,90,70,150) = 10

common factors(in case of two or more numbers have common factors) = 900

GCF(30,90,70,150) x common factors =10 x 900 = 9000

LCM(30,90,70,150) = ( 30 × 90 × 70 × 150 ) / 9000

LCM(30,90,70,150) = 28350000 / 9000

LCM(30,90,70,150) = 3150

∴ Least Common Multiple of 30,90,70,150 is 3150

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

• LCM of 67, 82, 86, 342
• LCM of 48, 67, 46, 857
• LCM of 39, 67, 62, 123
• LCM of 65, 99, 66, 497
• LCM of 17, 38, 63, 963

1. What is the LCM of 30, 90, 70, 150?

Answer: LCM of 30, 90, 70, 150 is 3150.

2. What are the Factors of 3150?

Answer: Factors of 3150 are . There are integers that are factors of 3150

3. How to Find the LCM of 30, 90, 70, 150 ?

Least Common Multiple of 30, 90, 70, 150.

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, 90, 70, 150) = 2 x 3 x 3 x 5 x 5 x 7 = 3150.