Least Common Multiple of 7499/724, 3541/4497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7499/724, 3541/4497 quickly i.e. 26553959 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7499/724, 3541/4497 is 26553959.

LCM(7499/724, 3541/4497) = 26553959

LCM of 7499/724, 3541/4497

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 7499/724,3541/4497

Given numbers are 7499/724,3541/4497

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 7499,3541

Least Common Multiple of Numerators i.e. LCM of 7499,3541 is 26553959.

GCF of Denominators means GCF of 724,4497 as per the given fractions.

GCF of 724,4497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7499,3541

LCM of Fractions 7499/724,3541/4497 is 26553959

Given numbers has no common factors except 1. So, there LCM is their product i.e 26553959

Least Common Multiple of 7499,3541 with GCF Formula

Least Common Multiple of 7499,3541 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 7499,3541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7499,3541) = 1

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

GCF(7499,3541) x common factors =1 x 1 = 1

LCM(7499,3541) = ( 7499 × 3541 ) / 1

LCM(7499,3541) = 26553959 / 1

LCM(7499,3541) = 26553959


Lets's calculate GCF of 724,4497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26553959/1

Therefore the LCM of Fractions 7499/724,3541/4497 is 26553959

Greatest Common Factor of 724,4497 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,4497 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 4497

List of positive integer factors of 4497 that divides 4497 without a remainder.

1,3,1499,4497

Greatest Common Factor

We found the factors 724,4497 . The biggest common factor number is the GCF number.
So the greatest common factor 724,4497 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 7499/724, 3541/4497

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 7499/724, 3541/4497?

Answer: LCM of Numerators as per given numbers 7499/724, 3541/4497 is

LCM of Numerators i.e. for 7499,3541 is 26553959

GCF of denominators i.e. for 724,4497 is 1.

Thus, LCM of Fractions is 26553959.Finally, LCM of Fractions for 7499/724, 3541/4497 is 26553959.