Least Common Multiple of 76/728, 91/996, 598/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/728, 91/996, 598/655 quickly i.e. 159068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/728, 91/996, 598/655 is 159068.

LCM(76/728, 91/996, 598/655) = 159068

LCM of 76/728, 91/996, 598/655

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 76/728,91/996,598/655

Given numbers are 76/728,91/996,598/655

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 76,91,598

Least Common Multiple of Numerators i.e. LCM of 76,91,598 is 159068.

GCF of Denominators means GCF of 728,996,655 as per the given fractions.

GCF of 728,996,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,91,598

LCM of Fractions 76/728,91/996,598/655 is 159068

2 76, 91, 598
13 38, 91, 299
38, 7, 23

∴ So the LCM of the given numbers is 2 x 13 x 38 x 7 x 23 = 159068

Least Common Multiple of 76,91,598 with GCF Formula

Least Common Multiple of 76,91,598 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 76,91,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,91,598) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(76,91,598) x common factors =1 x 26 = 26

LCM(76,91,598) = ( 76 × 91 × 598 ) / 26

LCM(76,91,598) = 4135768 / 26

LCM(76,91,598) = 159068


Lets's calculate GCF of 728,996,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159068/1

Therefore the LCM of Fractions 76/728,91/996,598/655 is 159068

Greatest Common Factor of 728,996,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,996,655 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 728,996,655 . The biggest common factor number is the GCF number.
So the greatest common factor 728,996,655 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 76/728, 91/996, 598/655

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 76/728, 91/996, 598/655?

Answer: LCM of Numerators as per given numbers 76/728, 91/996, 598/655 is

LCM of Numerators i.e. for 76,91,598 is 159068

GCF of denominators i.e. for 728,996,655 is 1.

Thus, LCM of Fractions is 159068.Finally, LCM of Fractions for 76/728, 91/996, 598/655 is 159068.