Least Common Multiple of 725/51, 996/2646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 725/51, 996/2646 quickly i.e. 240700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 725/51, 996/2646 is 240700.

LCM(725/51, 996/2646) = 240700

LCM of 725/51, 996/2646

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 725/51,996/2646

Given numbers are 725/51,996/2646

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 725,996

Least Common Multiple of Numerators i.e. LCM of 725,996 is 722100.

GCF of Denominators means GCF of 51,2646 as per the given fractions.

GCF of 51,2646 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 725,996

LCM of Fractions 725/51,996/2646 is 240700

Given numbers has no common factors except 1. So, there LCM is their product i.e 722100

Least Common Multiple of 725,996 with GCF Formula

Least Common Multiple of 725,996 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 725,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,996) = 1

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

GCF(725,996) x common factors =1 x 1 = 1

LCM(725,996) = ( 725 × 996 ) / 1

LCM(725,996) = 722100 / 1

LCM(725,996) = 722100


Lets's calculate GCF of 51,2646

3 51, 2646
17, 882

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 722100/3

Therefore the LCM of Fractions 725/51,996/2646 is 240700

Greatest Common Factor of 51,2646 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,2646 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 2646

List of positive integer factors of 2646 that divides 2646 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,49,54,63,98,126,147,189,294,378,441,882,1323,2646

Greatest Common Factor

We found the factors 51,2646 . The biggest common factor number is the GCF number.
So the greatest common factor 51,2646 is 3.


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 725/51, 996/2646

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 725/51, 996/2646?

Answer: LCM of Numerators as per given numbers 725/51, 996/2646 is

LCM of Numerators i.e. for 725,996 is 722100

GCF of denominators i.e. for 51,2646 is 3.

Thus, LCM of Fractions is 240700.Finally, LCM of Fractions for 725/51, 996/2646 is 240700.