Least Common Multiple of 98/260, 5460/4880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/260, 5460/4880 quickly i.e. 1911 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/260, 5460/4880 is 1911.

LCM(98/260, 5460/4880) = 1911

LCM of 98/260, 5460/4880

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 98/260,5460/4880

Given numbers are 98/260,5460/4880

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 98,5460

Least Common Multiple of Numerators i.e. LCM of 98,5460 is 38220.

GCF of Denominators means GCF of 260,4880 as per the given fractions.

GCF of 260,4880 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,5460

LCM of Fractions 98/260,5460/4880 is 1911

2 98, 5460
7 49, 2730
7, 390

∴ So the LCM of the given numbers is 2 x 7 x 7 x 390 = 38220

Least Common Multiple of 98,5460 with GCF Formula

Least Common Multiple of 98,5460 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 98,5460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,5460) = 14

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

GCF(98,5460) x common factors =14 x 1 = 14

LCM(98,5460) = ( 98 × 5460 ) / 14

LCM(98,5460) = 535080 / 14

LCM(98,5460) = 38220


Lets's calculate GCF of 260,4880

2 260, 4880
2 130, 2440
5 65, 1220
13, 244

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38220/20

Therefore the LCM of Fractions 98/260,5460/4880 is 1911

Greatest Common Factor of 260,4880 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,4880 By Matching Biggest Common Factor Method

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

Factors of 4880

List of positive integer factors of 4880 that divides 4880 without a remainder.

1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880

Greatest Common Factor

We found the factors 260,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 260,4880 is 20.


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 98/260, 5460/4880

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 98/260, 5460/4880?

Answer: LCM of Numerators as per given numbers 98/260, 5460/4880 is

LCM of Numerators i.e. for 98,5460 is 38220

GCF of denominators i.e. for 260,4880 is 20.

Thus, LCM of Fractions is 1911.Finally, LCM of Fractions for 98/260, 5460/4880 is 1911.