Least Common Multiple of 73/13, 77/98, 96/78, 57/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/13, 77/98, 96/78, 57/530 quickly i.e. 10252704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/13, 77/98, 96/78, 57/530 is 10252704.

LCM(73/13, 77/98, 96/78, 57/530) = 10252704

LCM of 73/13, 77/98, 96/78, 57/530

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 73/13,77/98,96/78,57/530

Given numbers are 73/13,77/98,96/78,57/530

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 73,77,96,57

Least Common Multiple of Numerators i.e. LCM of 73,77,96,57 is 10252704.

GCF of Denominators means GCF of 13,98,78,530 as per the given fractions.

GCF of 13,98,78,530 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,77,96,57

LCM of Fractions 73/13,77/98,96/78,57/530 is 10252704

3 73, 77, 96, 57
73, 77, 32, 19

∴ So the LCM of the given numbers is 3 x 73 x 77 x 32 x 19 = 10252704

Least Common Multiple of 73,77,96,57 with GCF Formula

Least Common Multiple of 73,77,96,57 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 73,77,96,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,77,96,57) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(73,77,96,57) x common factors =1 x 3 = 3

LCM(73,77,96,57) = ( 73 × 77 × 96 × 57 ) / 3

LCM(73,77,96,57) = 30758112 / 3

LCM(73,77,96,57) = 10252704


Lets's calculate GCF of 13,98,78,530

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10252704/1

Therefore the LCM of Fractions 73/13,77/98,96/78,57/530 is 10252704

Greatest Common Factor of 13,98,78,530 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,98,78,530 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Greatest Common Factor

We found the factors 13,98,78,530 . The biggest common factor number is the GCF number.
So the greatest common factor 13,98,78,530 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 73/13, 77/98, 96/78, 57/530

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 73/13, 77/98, 96/78, 57/530?

Answer: LCM of Numerators as per given numbers 73/13, 77/98, 96/78, 57/530 is

LCM of Numerators i.e. for 73,77,96,57 is 10252704

GCF of denominators i.e. for 13,98,78,530 is 1.

Thus, LCM of Fractions is 10252704.Finally, LCM of Fractions for 73/13, 77/98, 96/78, 57/530 is 10252704.