Least Common Multiple of 96/738, 200/791, 755/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/738, 200/791, 755/860 quickly i.e. 362400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/738, 200/791, 755/860 is 362400.

LCM(96/738, 200/791, 755/860) = 362400

LCM of 96/738, 200/791, 755/860

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 96/738,200/791,755/860

Given numbers are 96/738,200/791,755/860

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 96,200,755

Least Common Multiple of Numerators i.e. LCM of 96,200,755 is 362400.

GCF of Denominators means GCF of 738,791,860 as per the given fractions.

GCF of 738,791,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,200,755

LCM of Fractions 96/738,200/791,755/860 is 362400

2 96, 200, 755
2 48, 100, 755
2 24, 50, 755
5 12, 25, 755
12, 5, 151

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 12 x 5 x 151 = 362400

Least Common Multiple of 96,200,755 with GCF Formula

Least Common Multiple of 96,200,755 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 96,200,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,200,755) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(96,200,755) x common factors =1 x 40 = 40

LCM(96,200,755) = ( 96 × 200 × 755 ) / 40

LCM(96,200,755) = 14496000 / 40

LCM(96,200,755) = 362400


Lets's calculate GCF of 738,791,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362400/1

Therefore the LCM of Fractions 96/738,200/791,755/860 is 362400

Greatest Common Factor of 738,791,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 738,791,860 By Matching Biggest Common Factor Method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 738,791,860 . The biggest common factor number is the GCF number.
So the greatest common factor 738,791,860 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 96/738, 200/791, 755/860

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 96/738, 200/791, 755/860?

Answer: LCM of Numerators as per given numbers 96/738, 200/791, 755/860 is

LCM of Numerators i.e. for 96,200,755 is 362400

GCF of denominators i.e. for 738,791,860 is 1.

Thus, LCM of Fractions is 362400.Finally, LCM of Fractions for 96/738, 200/791, 755/860 is 362400.