Least Common Multiple of 96/98, 247/13, 720/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/98, 247/13, 720/638 quickly i.e. 355680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/98, 247/13, 720/638 is 355680.

LCM(96/98, 247/13, 720/638) = 355680

LCM of 96/98, 247/13, 720/638

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 96/98,247/13,720/638

Given numbers are 96/98,247/13,720/638

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 96,247,720

Least Common Multiple of Numerators i.e. LCM of 96,247,720 is 355680.

GCF of Denominators means GCF of 98,13,638 as per the given fractions.

GCF of 98,13,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,247,720

LCM of Fractions 96/98,247/13,720/638 is 355680

2 96, 247, 720
2 48, 247, 360
2 24, 247, 180
2 12, 247, 90
3 6, 247, 45
2, 247, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 2 x 247 x 15 = 355680

Least Common Multiple of 96,247,720 with GCF Formula

Least Common Multiple of 96,247,720 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 96,247,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,247,720) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(96,247,720) x common factors =1 x 48 = 48

LCM(96,247,720) = ( 96 × 247 × 720 ) / 48

LCM(96,247,720) = 17072640 / 48

LCM(96,247,720) = 355680


Lets's calculate GCF of 98,13,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355680/1

Therefore the LCM of Fractions 96/98,247/13,720/638 is 355680

Greatest Common Factor of 98,13,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,13,638 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 98,13,638 . The biggest common factor number is the GCF number.
So the greatest common factor 98,13,638 is 1.


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 96/98, 247/13, 720/638

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 96/98, 247/13, 720/638?

Answer: LCM of Numerators as per given numbers 96/98, 247/13, 720/638 is

LCM of Numerators i.e. for 96,247,720 is 355680

GCF of denominators i.e. for 98,13,638 is 1.

Thus, LCM of Fractions is 355680.Finally, LCM of Fractions for 96/98, 247/13, 720/638 is 355680.