Least Common Multiple of 72/976, 759/307, 306/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/976, 759/307, 306/752 quickly i.e. 309672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/976, 759/307, 306/752 is 309672.

LCM(72/976, 759/307, 306/752) = 309672

LCM of 72/976, 759/307, 306/752

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 72/976,759/307,306/752

Given numbers are 72/976,759/307,306/752

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 72,759,306

Least Common Multiple of Numerators i.e. LCM of 72,759,306 is 309672.

GCF of Denominators means GCF of 976,307,752 as per the given fractions.

GCF of 976,307,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,759,306

LCM of Fractions 72/976,759/307,306/752 is 309672

2 72, 759, 306
3 36, 759, 153
3 12, 253, 51
4, 253, 17

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 253 x 17 = 309672

Least Common Multiple of 72,759,306 with GCF Formula

Least Common Multiple of 72,759,306 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 72,759,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,759,306) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(72,759,306) x common factors =3 x 18 = 54

LCM(72,759,306) = ( 72 × 759 × 306 ) / 54

LCM(72,759,306) = 16722288 / 54

LCM(72,759,306) = 309672


Lets's calculate GCF of 976,307,752

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309672/1

Therefore the LCM of Fractions 72/976,759/307,306/752 is 309672

Greatest Common Factor of 976,307,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,307,752 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 976,307,752 . The biggest common factor number is the GCF number.
So the greatest common factor 976,307,752 is 1.


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 72/976, 759/307, 306/752

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 72/976, 759/307, 306/752?

Answer: LCM of Numerators as per given numbers 72/976, 759/307, 306/752 is

LCM of Numerators i.e. for 72,759,306 is 309672

GCF of denominators i.e. for 976,307,752 is 1.

Thus, LCM of Fractions is 309672.Finally, LCM of Fractions for 72/976, 759/307, 306/752 is 309672.