Least Common Multiple of 75, 34, 39, 975

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 75, 34, 39, 975 i.e. 33150 smallest integer divisible by all numbers.

Least common multiple (LCM) of 75, 34, 39, 975 is 33150.

LCM(75, 34, 39, 975) = 33150

LCM of 75, 34, 39, 975

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

LCM of:

Least Common Multiple of 75,34,39,975

Least Common Multiple (LCM) of 75,34,39,975 is 33150

3 75, 34, 39, 975
5 25, 34, 13, 325
5 5, 34, 13, 65
13 1, 34, 13, 13
1, 34, 1, 1

∴ So the LCM of the given numbers is 3 x 5 x 5 x 13 x 1 x 34 x 1 x 1 = 33150

Least Common Multiple of 75,34,39,975 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 75,34,39,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,34,39,975) = 1

common factors(in case of two or more numbers have common factors) = 2925

GCF(75,34,39,975) x common factors =1 x 2925 = 2925

LCM(75,34,39,975) = ( 75 × 34 × 39 × 975 ) / 2925

LCM(75,34,39,975) = 96963750 / 2925

LCM(75,34,39,975) = 33150

∴ Least Common Multiple of 75,34,39,975 is 33150

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 75, 34, 39, 975

1. What is the LCM of 75, 34, 39, 975?

Answer: LCM of 75, 34, 39, 975 is 33150.

2. What are the Factors of 33150?

Answer: Factors of 33150 are . There are integers that are factors of 33150

3. How to Find the LCM of 75, 34, 39, 975 ?

Least Common Multiple of 75, 34, 39, 975.

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(75, 34, 39, 975) = 2 x 3 x 5 x 5 x 13 x 17 = 33150.