Least Common Multiple of 79/535, 60/480, 113/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/535, 60/480, 113/557 quickly i.e. 535620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/535, 60/480, 113/557 is 535620.

LCM(79/535, 60/480, 113/557) = 535620

LCM of 79/535, 60/480, 113/557

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 79/535,60/480,113/557

Given numbers are 79/535,60/480,113/557

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 79,60,113

Least Common Multiple of Numerators i.e. LCM of 79,60,113 is 535620.

GCF of Denominators means GCF of 535,480,557 as per the given fractions.

GCF of 535,480,557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,60,113

LCM of Fractions 79/535,60/480,113/557 is 535620

Given numbers has no common factors except 1. So, there LCM is their product i.e 535620

Least Common Multiple of 79,60,113 with GCF Formula

Least Common Multiple of 79,60,113 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 79,60,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,60,113) = 1

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

GCF(79,60,113) x common factors =1 x 1 = 1

LCM(79,60,113) = ( 79 × 60 × 113 ) / 1

LCM(79,60,113) = 535620 / 1

LCM(79,60,113) = 535620


Lets's calculate GCF of 535,480,557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535620/1

Therefore the LCM of Fractions 79/535,60/480,113/557 is 535620

Greatest Common Factor of 535,480,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,480,557 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 535,480,557 . The biggest common factor number is the GCF number.
So the greatest common factor 535,480,557 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 79/535, 60/480, 113/557

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 79/535, 60/480, 113/557?

Answer: LCM of Numerators as per given numbers 79/535, 60/480, 113/557 is

LCM of Numerators i.e. for 79,60,113 is 535620

GCF of denominators i.e. for 535,480,557 is 1.

Thus, LCM of Fractions is 535620.Finally, LCM of Fractions for 79/535, 60/480, 113/557 is 535620.