Least Common Multiple of 932/728, 2881/9710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 932/728, 2881/9710 quickly i.e. 1342546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 932/728, 2881/9710 is 1342546.

LCM(932/728, 2881/9710) = 1342546

LCM of 932/728, 2881/9710

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 932/728,2881/9710

Given numbers are 932/728,2881/9710

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 932,2881

Least Common Multiple of Numerators i.e. LCM of 932,2881 is 2685092.

GCF of Denominators means GCF of 728,9710 as per the given fractions.

GCF of 728,9710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 932,2881

LCM of Fractions 932/728,2881/9710 is 1342546

Given numbers has no common factors except 1. So, there LCM is their product i.e 2685092

Least Common Multiple of 932,2881 with GCF Formula

Least Common Multiple of 932,2881 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 932,2881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,2881) = 1

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

GCF(932,2881) x common factors =1 x 1 = 1

LCM(932,2881) = ( 932 × 2881 ) / 1

LCM(932,2881) = 2685092 / 1

LCM(932,2881) = 2685092


Lets's calculate GCF of 728,9710

2 728, 9710
364, 4855

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2685092/2

Therefore the LCM of Fractions 932/728,2881/9710 is 1342546

Greatest Common Factor of 728,9710 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,9710 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 9710

List of positive integer factors of 9710 that divides 9710 without a remainder.

1,2,5,10,971,1942,4855,9710

Greatest Common Factor

We found the factors 728,9710 . The biggest common factor number is the GCF number.
So the greatest common factor 728,9710 is 2.


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 932/728, 2881/9710

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 932/728, 2881/9710?

Answer: LCM of Numerators as per given numbers 932/728, 2881/9710 is

LCM of Numerators i.e. for 932,2881 is 2685092

GCF of denominators i.e. for 728,9710 is 2.

Thus, LCM of Fractions is 1342546.Finally, LCM of Fractions for 932/728, 2881/9710 is 1342546.