Least Common Multiple of 75/60, 508/82, 605/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/60, 508/82, 605/349 quickly i.e. 4610100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/60, 508/82, 605/349 is 4610100.

LCM(75/60, 508/82, 605/349) = 4610100

LCM of 75/60, 508/82, 605/349

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 75/60,508/82,605/349

Given numbers are 75/60,508/82,605/349

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 75,508,605

Least Common Multiple of Numerators i.e. LCM of 75,508,605 is 4610100.

GCF of Denominators means GCF of 60,82,349 as per the given fractions.

GCF of 60,82,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,508,605

LCM of Fractions 75/60,508/82,605/349 is 4610100

5 75, 508, 605
15, 508, 121

∴ So the LCM of the given numbers is 5 x 15 x 508 x 121 = 4610100

Least Common Multiple of 75,508,605 with GCF Formula

Least Common Multiple of 75,508,605 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 75,508,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,508,605) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,508,605) x common factors =1 x 5 = 5

LCM(75,508,605) = ( 75 × 508 × 605 ) / 5

LCM(75,508,605) = 23050500 / 5

LCM(75,508,605) = 4610100


Lets's calculate GCF of 60,82,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4610100/1

Therefore the LCM of Fractions 75/60,508/82,605/349 is 4610100

Greatest Common Factor of 60,82,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,82,349 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 60,82,349 . The biggest common factor number is the GCF number.
So the greatest common factor 60,82,349 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 75/60, 508/82, 605/349

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 75/60, 508/82, 605/349?

Answer: LCM of Numerators as per given numbers 75/60, 508/82, 605/349 is

LCM of Numerators i.e. for 75,508,605 is 4610100

GCF of denominators i.e. for 60,82,349 is 1.

Thus, LCM of Fractions is 4610100.Finally, LCM of Fractions for 75/60, 508/82, 605/349 is 4610100.