Least Common Multiple of 9639/15, 4998/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9639/15, 4998/260 quickly i.e. 134946/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9639/15, 4998/260 is 134946/5.

LCM(9639/15, 4998/260) = 134946/5

LCM of 9639/15, 4998/260

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 9639/15,4998/260

Given numbers are 9639/15,4998/260

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 9639,4998

Least Common Multiple of Numerators i.e. LCM of 9639,4998 is 134946.

GCF of Denominators means GCF of 15,260 as per the given fractions.

GCF of 15,260 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9639,4998

LCM of Fractions 9639/15,4998/260 is 134946/5

3 9639, 4998
7 3213, 1666
17 459, 238
27, 14

∴ So the LCM of the given numbers is 3 x 7 x 17 x 27 x 14 = 134946

Least Common Multiple of 9639,4998 with GCF Formula

Least Common Multiple of 9639,4998 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 9639,4998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9639,4998) = 357

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

GCF(9639,4998) x common factors =357 x 1 = 357

LCM(9639,4998) = ( 9639 × 4998 ) / 357

LCM(9639,4998) = 48175722 / 357

LCM(9639,4998) = 134946


Lets's calculate GCF of 15,260

5 15, 260
3, 52

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134946/5

Therefore the LCM of Fractions 9639/15,4998/260 is 134946/5

Greatest Common Factor of 15,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,260 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 15,260 . The biggest common factor number is the GCF number.
So the greatest common factor 15,260 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9639/15, 4998/260

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 9639/15, 4998/260?

Answer: LCM of Numerators as per given numbers 9639/15, 4998/260 is

LCM of Numerators i.e. for 9639,4998 is 134946

GCF of denominators i.e. for 15,260 is 5.

Thus, LCM of Fractions is 134946/5.Finally, LCM of Fractions for 9639/15, 4998/260 is 134946/5.