Least Common Multiple of 507/838, 7059/9153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 507/838, 7059/9153 quickly i.e. 91767 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/838, 7059/9153 is 91767.

LCM(507/838, 7059/9153) = 91767

LCM of 507/838, 7059/9153

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 507/838,7059/9153

Given numbers are 507/838,7059/9153

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 507,7059

Least Common Multiple of Numerators i.e. LCM of 507,7059 is 91767.

GCF of Denominators means GCF of 838,9153 as per the given fractions.

GCF of 838,9153 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,7059

LCM of Fractions 507/838,7059/9153 is 91767

3 507, 7059
13 169, 2353
13, 181

∴ So the LCM of the given numbers is 3 x 13 x 13 x 181 = 91767

Least Common Multiple of 507,7059 with GCF Formula

Least Common Multiple of 507,7059 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 507,7059 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,7059) = 39

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

GCF(507,7059) x common factors =39 x 1 = 39

LCM(507,7059) = ( 507 × 7059 ) / 39

LCM(507,7059) = 3578913 / 39

LCM(507,7059) = 91767


Lets's calculate GCF of 838,9153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91767/1

Therefore the LCM of Fractions 507/838,7059/9153 is 91767

Greatest Common Factor of 838,9153 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,9153 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 9153

List of positive integer factors of 9153 that divides 9153 without a remainder.

1,3,9,27,81,113,339,1017,3051,9153

Greatest Common Factor

We found the factors 838,9153 . The biggest common factor number is the GCF number.
So the greatest common factor 838,9153 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 507/838, 7059/9153

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 507/838, 7059/9153?

Answer: LCM of Numerators as per given numbers 507/838, 7059/9153 is

LCM of Numerators i.e. for 507,7059 is 91767

GCF of denominators i.e. for 838,9153 is 1.

Thus, LCM of Fractions is 91767.Finally, LCM of Fractions for 507/838, 7059/9153 is 91767.