Least Common Multiple of 750, 221, 232, 515, 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 750, 221, 232, 515, 975 i.e. 1980381000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 750, 221, 232, 515, 975 is 1980381000.

LCM(750, 221, 232, 515, 975) = 1980381000

LCM of 750, 221, 232, 515, 975

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

LCM of:

Least Common Multiple of 750,221,232,515,975

Least Common Multiple (LCM) of 750,221,232,515,975 is 1980381000

2 750, 221, 232, 515, 975
3 375, 221, 116, 515, 975
5 125, 221, 116, 515, 325
5 25, 221, 116, 103, 65
13 5, 221, 116, 103, 13
5, 17, 116, 103, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 13 x 5 x 17 x 116 x 103 x 1 = 1980381000

Least Common Multiple of 750,221,232,515,975 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 750,221,232,515,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,221,232,515,975) = 1

common factors(in case of two or more numbers have common factors) = 9750

GCF(750,221,232,515,975) x common factors =1 x 9750 = 9750

LCM(750,221,232,515,975) = ( 750 × 221 × 232 × 515 × 975 ) / 9750

LCM(750,221,232,515,975) = 19308714750000 / 9750

LCM(750,221,232,515,975) = 1980381000

∴ Least Common Multiple of 750,221,232,515,975 is 1980381000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 750, 221, 232, 515, 975

1. What is the LCM of 750, 221, 232, 515, 975?

Answer: LCM of 750, 221, 232, 515, 975 is 1980381000.

2. What are the Factors of 1980381000?

Answer: Factors of 1980381000 are . There are integers that are factors of 1980381000

3. How to Find the LCM of 750, 221, 232, 515, 975 ?

Least Common Multiple of 750, 221, 232, 515, 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(750, 221, 232, 515, 975) = 2 x 2 x 2 x 3 x 5 x 5 x 5 x 13 x 17 x 29 x 103 = 1980381000.