Least Common Multiple of 755/91, 549/59, 916/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 755/91, 549/59, 916/728 quickly i.e. 379677420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/91, 549/59, 916/728 is 379677420.

LCM(755/91, 549/59, 916/728) = 379677420

LCM of 755/91, 549/59, 916/728

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 755/91,549/59,916/728

Given numbers are 755/91,549/59,916/728

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 755,549,916

Least Common Multiple of Numerators i.e. LCM of 755,549,916 is 379677420.

GCF of Denominators means GCF of 91,59,728 as per the given fractions.

GCF of 91,59,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,549,916

LCM of Fractions 755/91,549/59,916/728 is 379677420

Given numbers has no common factors except 1. So, there LCM is their product i.e 379677420

Least Common Multiple of 755,549,916 with GCF Formula

Least Common Multiple of 755,549,916 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 755,549,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,549,916) = 1

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

GCF(755,549,916) x common factors =1 x 1 = 1

LCM(755,549,916) = ( 755 × 549 × 916 ) / 1

LCM(755,549,916) = 379677420 / 1

LCM(755,549,916) = 379677420


Lets's calculate GCF of 91,59,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379677420/1

Therefore the LCM of Fractions 755/91,549/59,916/728 is 379677420

Greatest Common Factor of 91,59,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,59,728 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

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

Greatest Common Factor

We found the factors 91,59,728 . The biggest common factor number is the GCF number.
So the greatest common factor 91,59,728 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 755/91, 549/59, 916/728

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 755/91, 549/59, 916/728?

Answer: LCM of Numerators as per given numbers 755/91, 549/59, 916/728 is

LCM of Numerators i.e. for 755,549,916 is 379677420

GCF of denominators i.e. for 91,59,728 is 1.

Thus, LCM of Fractions is 379677420.Finally, LCM of Fractions for 755/91, 549/59, 916/728 is 379677420.