Least Common Multiple of 6723/365, 7902/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6723/365, 7902/932 quickly i.e. 5902794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6723/365, 7902/932 is 5902794.

LCM(6723/365, 7902/932) = 5902794

LCM of 6723/365, 7902/932

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 6723/365,7902/932

Given numbers are 6723/365,7902/932

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 6723,7902

Least Common Multiple of Numerators i.e. LCM of 6723,7902 is 5902794.

GCF of Denominators means GCF of 365,932 as per the given fractions.

GCF of 365,932 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6723,7902

LCM of Fractions 6723/365,7902/932 is 5902794

3 6723, 7902
3 2241, 2634
747, 878

∴ So the LCM of the given numbers is 3 x 3 x 747 x 878 = 5902794

Least Common Multiple of 6723,7902 with GCF Formula

Least Common Multiple of 6723,7902 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 6723,7902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6723,7902) = 9

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

GCF(6723,7902) x common factors =9 x 1 = 9

LCM(6723,7902) = ( 6723 × 7902 ) / 9

LCM(6723,7902) = 53125146 / 9

LCM(6723,7902) = 5902794


Lets's calculate GCF of 365,932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5902794/1

Therefore the LCM of Fractions 6723/365,7902/932 is 5902794

Greatest Common Factor of 365,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,932 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 365,932 . The biggest common factor number is the GCF number.
So the greatest common factor 365,932 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 6723/365, 7902/932

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 6723/365, 7902/932?

Answer: LCM of Numerators as per given numbers 6723/365, 7902/932 is

LCM of Numerators i.e. for 6723,7902 is 5902794

GCF of denominators i.e. for 365,932 is 1.

Thus, LCM of Fractions is 5902794.Finally, LCM of Fractions for 6723/365, 7902/932 is 5902794.