Least Common Multiple of 5239/261, 9518/9864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5239/261, 9518/9864 quickly i.e. 49864802/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5239/261, 9518/9864 is 49864802/9.

LCM(5239/261, 9518/9864) = 49864802/9

LCM of 5239/261, 9518/9864

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 5239/261,9518/9864

Given numbers are 5239/261,9518/9864

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 5239,9518

Least Common Multiple of Numerators i.e. LCM of 5239,9518 is 49864802.

GCF of Denominators means GCF of 261,9864 as per the given fractions.

GCF of 261,9864 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5239,9518

LCM of Fractions 5239/261,9518/9864 is 49864802/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 49864802

Least Common Multiple of 5239,9518 with GCF Formula

Least Common Multiple of 5239,9518 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 5239,9518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5239,9518) = 1

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

GCF(5239,9518) x common factors =1 x 1 = 1

LCM(5239,9518) = ( 5239 × 9518 ) / 1

LCM(5239,9518) = 49864802 / 1

LCM(5239,9518) = 49864802


Lets's calculate GCF of 261,9864

3 261, 9864
3 87, 3288
29, 1096

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49864802/9

Therefore the LCM of Fractions 5239/261,9518/9864 is 49864802/9

Greatest Common Factor of 261,9864 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,9864 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 9864

List of positive integer factors of 9864 that divides 9864 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864

Greatest Common Factor

We found the factors 261,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 261,9864 is 9.


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 5239/261, 9518/9864

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 5239/261, 9518/9864?

Answer: LCM of Numerators as per given numbers 5239/261, 9518/9864 is

LCM of Numerators i.e. for 5239,9518 is 49864802

GCF of denominators i.e. for 261,9864 is 9.

Thus, LCM of Fractions is 49864802/9.Finally, LCM of Fractions for 5239/261, 9518/9864 is 49864802/9.