Least Common Multiple of 31, 90, 15, 170

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

• Least Common Multiple of 31, 90, 15, 170 by common division method
• Least Common Multiple of 31, 90, 15, 170 with GCF Formula

∴ So the LCM of the given numbers is 2 x 3 x 5 x 31 x 1 x 3 x 17 = 47430

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 31,90,15,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,90,15,170) = 1

common factors(in case of two or more numbers have common factors) = 150

GCF(31,90,15,170) x common factors =1 x 150 = 150

LCM(31,90,15,170) = ( 31 × 90 × 15 × 170 ) / 150

LCM(31,90,15,170) = 7114500 / 150

LCM(31,90,15,170) = 47430

∴ Least Common Multiple of 31,90,15,170 is 47430

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

• LCM of 49, 61, 66, 918
• LCM of 14, 51, 15, 892
• LCM of 47, 52, 59, 906
• LCM of 95, 50, 33, 563
• LCM of 11, 32, 28, 364

1. What is the LCM of 31, 90, 15, 170?

Answer: LCM of 31, 90, 15, 170 is 47430.

2. What are the Factors of 47430?

Answer: Factors of 47430 are . There are integers that are factors of 47430

3. How to Find the LCM of 31, 90, 15, 170 ?

Least Common Multiple of 31, 90, 15, 170.

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(31, 90, 15, 170) = 2 x 3 x 3 x 5 x 17 x 31 = 47430.