Least Common Multiple of 9840/541, 7499/5440

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9840/541, 7499/5440 quickly i.e. 73790160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9840/541, 7499/5440 is 73790160.

LCM(9840/541, 7499/5440) = 73790160

LCM of 9840/541, 7499/5440

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 9840/541,7499/5440

Given numbers are 9840/541,7499/5440

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 9840,7499

Least Common Multiple of Numerators i.e. LCM of 9840,7499 is 73790160.

GCF of Denominators means GCF of 541,5440 as per the given fractions.

GCF of 541,5440 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9840,7499

LCM of Fractions 9840/541,7499/5440 is 73790160

Given numbers has no common factors except 1. So, there LCM is their product i.e 73790160

Least Common Multiple of 9840,7499 with GCF Formula

Least Common Multiple of 9840,7499 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 9840,7499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9840,7499) = 1

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

GCF(9840,7499) x common factors =1 x 1 = 1

LCM(9840,7499) = ( 9840 × 7499 ) / 1

LCM(9840,7499) = 73790160 / 1

LCM(9840,7499) = 73790160


Lets's calculate GCF of 541,5440

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73790160/1

Therefore the LCM of Fractions 9840/541,7499/5440 is 73790160

Greatest Common Factor of 541,5440 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,5440 By Matching Biggest Common Factor Method

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 5440

List of positive integer factors of 5440 that divides 5440 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,64,68,80,85,136,160,170,272,320,340,544,680,1088,1360,2720,5440

Greatest Common Factor

We found the factors 541,5440 . The biggest common factor number is the GCF number.
So the greatest common factor 541,5440 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9840/541, 7499/5440

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 9840/541, 7499/5440?

Answer: LCM of Numerators as per given numbers 9840/541, 7499/5440 is

LCM of Numerators i.e. for 9840,7499 is 73790160

GCF of denominators i.e. for 541,5440 is 1.

Thus, LCM of Fractions is 73790160.Finally, LCM of Fractions for 9840/541, 7499/5440 is 73790160.