Least Common Multiple of 2404/856, 9979/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2404/856, 9979/524 quickly i.e. 5997379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2404/856, 9979/524 is 5997379.

LCM(2404/856, 9979/524) = 5997379

LCM of 2404/856, 9979/524

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 2404/856,9979/524

Given numbers are 2404/856,9979/524

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 2404,9979

Least Common Multiple of Numerators i.e. LCM of 2404,9979 is 23989516.

GCF of Denominators means GCF of 856,524 as per the given fractions.

GCF of 856,524 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2404,9979

LCM of Fractions 2404/856,9979/524 is 5997379

Given numbers has no common factors except 1. So, there LCM is their product i.e 23989516

Least Common Multiple of 2404,9979 with GCF Formula

Least Common Multiple of 2404,9979 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 2404,9979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2404,9979) = 1

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

GCF(2404,9979) x common factors =1 x 1 = 1

LCM(2404,9979) = ( 2404 × 9979 ) / 1

LCM(2404,9979) = 23989516 / 1

LCM(2404,9979) = 23989516


Lets's calculate GCF of 856,524

2 856, 524
2 428, 262
214, 131

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23989516/4

Therefore the LCM of Fractions 2404/856,9979/524 is 5997379

Greatest Common Factor of 856,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,524 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 856,524 . The biggest common factor number is the GCF number.
So the greatest common factor 856,524 is 4.


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Frequently Asked Questions on Fractional LCM of 2404/856, 9979/524

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 2404/856, 9979/524?

Answer: LCM of Numerators as per given numbers 2404/856, 9979/524 is

LCM of Numerators i.e. for 2404,9979 is 23989516

GCF of denominators i.e. for 856,524 is 4.

Thus, LCM of Fractions is 5997379.Finally, LCM of Fractions for 2404/856, 9979/524 is 5997379.