Least Common Multiple of 747/76, 532/45, 361/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/76, 532/45, 361/680 quickly i.e. 7550676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/76, 532/45, 361/680 is 7550676.

LCM(747/76, 532/45, 361/680) = 7550676

LCM of 747/76, 532/45, 361/680

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 747/76,532/45,361/680

Given numbers are 747/76,532/45,361/680

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 747,532,361

Least Common Multiple of Numerators i.e. LCM of 747,532,361 is 7550676.

GCF of Denominators means GCF of 76,45,680 as per the given fractions.

GCF of 76,45,680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,532,361

LCM of Fractions 747/76,532/45,361/680 is 7550676

19 747, 532, 361
747, 28, 19

∴ So the LCM of the given numbers is 19 x 747 x 28 x 19 = 7550676

Least Common Multiple of 747,532,361 with GCF Formula

Least Common Multiple of 747,532,361 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 747,532,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,532,361) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(747,532,361) x common factors =1 x 19 = 19

LCM(747,532,361) = ( 747 × 532 × 361 ) / 19

LCM(747,532,361) = 143462844 / 19

LCM(747,532,361) = 7550676


Lets's calculate GCF of 76,45,680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7550676/1

Therefore the LCM of Fractions 747/76,532/45,361/680 is 7550676

Greatest Common Factor of 76,45,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,45,680 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 76,45,680 . The biggest common factor number is the GCF number.
So the greatest common factor 76,45,680 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 747/76, 532/45, 361/680

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 747/76, 532/45, 361/680?

Answer: LCM of Numerators as per given numbers 747/76, 532/45, 361/680 is

LCM of Numerators i.e. for 747,532,361 is 7550676

GCF of denominators i.e. for 76,45,680 is 1.

Thus, LCM of Fractions is 7550676.Finally, LCM of Fractions for 747/76, 532/45, 361/680 is 7550676.