Least Common Multiple of 778/739, 123/548, 761/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 778/739, 123/548, 761/936 quickly i.e. 72823134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 778/739, 123/548, 761/936 is 72823134.

LCM(778/739, 123/548, 761/936) = 72823134

LCM of 778/739, 123/548, 761/936

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 778/739,123/548,761/936

Given numbers are 778/739,123/548,761/936

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 778,123,761

Least Common Multiple of Numerators i.e. LCM of 778,123,761 is 72823134.

GCF of Denominators means GCF of 739,548,936 as per the given fractions.

GCF of 739,548,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 778,123,761

LCM of Fractions 778/739,123/548,761/936 is 72823134

Given numbers has no common factors except 1. So, there LCM is their product i.e 72823134

Least Common Multiple of 778,123,761 with GCF Formula

Least Common Multiple of 778,123,761 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 778,123,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(778,123,761) = 1

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

GCF(778,123,761) x common factors =1 x 1 = 1

LCM(778,123,761) = ( 778 × 123 × 761 ) / 1

LCM(778,123,761) = 72823134 / 1

LCM(778,123,761) = 72823134


Lets's calculate GCF of 739,548,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72823134/1

Therefore the LCM of Fractions 778/739,123/548,761/936 is 72823134

Greatest Common Factor of 739,548,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,548,936 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 739,548,936 . The biggest common factor number is the GCF number.
So the greatest common factor 739,548,936 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 778/739, 123/548, 761/936

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 778/739, 123/548, 761/936?

Answer: LCM of Numerators as per given numbers 778/739, 123/548, 761/936 is

LCM of Numerators i.e. for 778,123,761 is 72823134

GCF of denominators i.e. for 739,548,936 is 1.

Thus, LCM of Fractions is 72823134.Finally, LCM of Fractions for 778/739, 123/548, 761/936 is 72823134.