Least Common Multiple of 9268/725, 8762/8789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9268/725, 8762/8789 quickly i.e. 40603108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9268/725, 8762/8789 is 40603108.

LCM(9268/725, 8762/8789) = 40603108

LCM of 9268/725, 8762/8789

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 9268/725,8762/8789

Given numbers are 9268/725,8762/8789

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 9268,8762

Least Common Multiple of Numerators i.e. LCM of 9268,8762 is 40603108.

GCF of Denominators means GCF of 725,8789 as per the given fractions.

GCF of 725,8789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9268,8762

LCM of Fractions 9268/725,8762/8789 is 40603108

2 9268, 8762
4634, 4381

∴ So the LCM of the given numbers is 2 x 4634 x 4381 = 40603108

Least Common Multiple of 9268,8762 with GCF Formula

Least Common Multiple of 9268,8762 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 9268,8762 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9268,8762) = 2

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

GCF(9268,8762) x common factors =2 x 1 = 2

LCM(9268,8762) = ( 9268 × 8762 ) / 2

LCM(9268,8762) = 81206216 / 2

LCM(9268,8762) = 40603108


Lets's calculate GCF of 725,8789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40603108/1

Therefore the LCM of Fractions 9268/725,8762/8789 is 40603108

Greatest Common Factor of 725,8789 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,8789 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 8789

List of positive integer factors of 8789 that divides 8789 without a remainder.

1,11,17,47,187,517,799,8789

Greatest Common Factor

We found the factors 725,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 725,8789 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 9268/725, 8762/8789

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 9268/725, 8762/8789?

Answer: LCM of Numerators as per given numbers 9268/725, 8762/8789 is

LCM of Numerators i.e. for 9268,8762 is 40603108

GCF of denominators i.e. for 725,8789 is 1.

Thus, LCM of Fractions is 40603108.Finally, LCM of Fractions for 9268/725, 8762/8789 is 40603108.