Least Common Multiple of 7755/506, 8725/8983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7755/506, 8725/8983 quickly i.e. 13532475 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7755/506, 8725/8983 is 13532475.

LCM(7755/506, 8725/8983) = 13532475

LCM of 7755/506, 8725/8983

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 7755/506,8725/8983

Given numbers are 7755/506,8725/8983

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 7755,8725

Least Common Multiple of Numerators i.e. LCM of 7755,8725 is 13532475.

GCF of Denominators means GCF of 506,8983 as per the given fractions.

GCF of 506,8983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7755,8725

LCM of Fractions 7755/506,8725/8983 is 13532475

5 7755, 8725
1551, 1745

∴ So the LCM of the given numbers is 5 x 1551 x 1745 = 13532475

Least Common Multiple of 7755,8725 with GCF Formula

Least Common Multiple of 7755,8725 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 7755,8725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7755,8725) = 5

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

GCF(7755,8725) x common factors =5 x 1 = 5

LCM(7755,8725) = ( 7755 × 8725 ) / 5

LCM(7755,8725) = 67662375 / 5

LCM(7755,8725) = 13532475


Lets's calculate GCF of 506,8983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13532475/1

Therefore the LCM of Fractions 7755/506,8725/8983 is 13532475

Greatest Common Factor of 506,8983 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,8983 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 8983

List of positive integer factors of 8983 that divides 8983 without a remainder.

1,13,691,8983

Greatest Common Factor

We found the factors 506,8983 . The biggest common factor number is the GCF number.
So the greatest common factor 506,8983 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 7755/506, 8725/8983

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 7755/506, 8725/8983?

Answer: LCM of Numerators as per given numbers 7755/506, 8725/8983 is

LCM of Numerators i.e. for 7755,8725 is 13532475

GCF of denominators i.e. for 506,8983 is 1.

Thus, LCM of Fractions is 13532475.Finally, LCM of Fractions for 7755/506, 8725/8983 is 13532475.