Least Common Multiple of 72/750, 97/714, 311/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/750, 97/714, 311/987 quickly i.e. 724008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/750, 97/714, 311/987 is 724008.

LCM(72/750, 97/714, 311/987) = 724008

LCM of 72/750, 97/714, 311/987

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 72/750,97/714,311/987

Given numbers are 72/750,97/714,311/987

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 72,97,311

Least Common Multiple of Numerators i.e. LCM of 72,97,311 is 2172024.

GCF of Denominators means GCF of 750,714,987 as per the given fractions.

GCF of 750,714,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,97,311

LCM of Fractions 72/750,97/714,311/987 is 724008

Given numbers has no common factors except 1. So, there LCM is their product i.e 2172024

Least Common Multiple of 72,97,311 with GCF Formula

Least Common Multiple of 72,97,311 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 72,97,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,97,311) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(72,97,311) x common factors =1 x 1 = 1

LCM(72,97,311) = ( 72 × 97 × 311 ) / 1

LCM(72,97,311) = 2172024 / 1

LCM(72,97,311) = 2172024


Lets's calculate GCF of 750,714,987

3 750, 714, 987
250, 238, 329

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2172024/3

Therefore the LCM of Fractions 72/750,97/714,311/987 is 724008

Greatest Common Factor of 750,714,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 750,714,987 By Matching Biggest Common Factor Method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 750,714,987 . The biggest common factor number is the GCF number.
So the greatest common factor 750,714,987 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 72/750, 97/714, 311/987

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 72/750, 97/714, 311/987?

Answer: LCM of Numerators as per given numbers 72/750, 97/714, 311/987 is

LCM of Numerators i.e. for 72,97,311 is 2172024

GCF of denominators i.e. for 750,714,987 is 3.

Thus, LCM of Fractions is 724008.Finally, LCM of Fractions for 72/750, 97/714, 311/987 is 724008.