Least Common Multiple of 507/292, 897/195, 824/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/292, 897/195, 824/913 quickly i.e. 9608664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/292, 897/195, 824/913 is 9608664.

LCM(507/292, 897/195, 824/913) = 9608664

LCM of 507/292, 897/195, 824/913

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 507/292,897/195,824/913

Given numbers are 507/292,897/195,824/913

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 507,897,824

Least Common Multiple of Numerators i.e. LCM of 507,897,824 is 9608664.

GCF of Denominators means GCF of 292,195,913 as per the given fractions.

GCF of 292,195,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,897,824

LCM of Fractions 507/292,897/195,824/913 is 9608664

3 507, 897, 824
13 169, 299, 824
13, 23, 824

∴ So the LCM of the given numbers is 3 x 13 x 13 x 23 x 824 = 9608664

Least Common Multiple of 507,897,824 with GCF Formula

Least Common Multiple of 507,897,824 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 507,897,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,897,824) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(507,897,824) x common factors =1 x 39 = 39

LCM(507,897,824) = ( 507 × 897 × 824 ) / 39

LCM(507,897,824) = 374737896 / 39

LCM(507,897,824) = 9608664


Lets's calculate GCF of 292,195,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9608664/1

Therefore the LCM of Fractions 507/292,897/195,824/913 is 9608664

Greatest Common Factor of 292,195,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,195,913 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 292,195,913 . The biggest common factor number is the GCF number.
So the greatest common factor 292,195,913 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 507/292, 897/195, 824/913

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 507/292, 897/195, 824/913?

Answer: LCM of Numerators as per given numbers 507/292, 897/195, 824/913 is

LCM of Numerators i.e. for 507,897,824 is 9608664

GCF of denominators i.e. for 292,195,913 is 1.

Thus, LCM of Fractions is 9608664.Finally, LCM of Fractions for 507/292, 897/195, 824/913 is 9608664.