Least Common Multiple of 50, 66, 315, 971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 50, 66, 315, 971 i.e. 33645150 smallest integer divisible by all numbers.

Least common multiple (LCM) of 50, 66, 315, 971 is 33645150.

LCM(50, 66, 315, 971) = 33645150

LCM of 50, 66, 315, 971

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

LCM of:

Least Common Multiple of 50,66,315,971

Least Common Multiple (LCM) of 50,66,315,971 is 33645150

2 50, 66, 315, 971
3 25, 33, 315, 971
5 25, 11, 105, 971
5, 11, 21, 971

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 11 x 21 x 971 = 33645150

Least Common Multiple of 50,66,315,971 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 50,66,315,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,66,315,971) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(50,66,315,971) x common factors =1 x 30 = 30

LCM(50,66,315,971) = ( 50 × 66 × 315 × 971 ) / 30

LCM(50,66,315,971) = 1009354500 / 30

LCM(50,66,315,971) = 33645150

∴ Least Common Multiple of 50,66,315,971 is 33645150

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 50, 66, 315, 971

1. What is the LCM of 50, 66, 315, 971?

Answer: LCM of 50, 66, 315, 971 is 33645150.

2. What are the Factors of 33645150?

Answer: Factors of 33645150 are . There are integers that are factors of 33645150

3. How to Find the LCM of 50, 66, 315, 971 ?

Least Common Multiple of 50, 66, 315, 971.

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(50, 66, 315, 971) = 2 x 3 x 3 x 5 x 5 x 7 x 11 x 971 = 33645150.