Least Common Multiple of 98/302, 649/755, 382/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/302, 649/755, 382/288 quickly i.e. 12147982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/302, 649/755, 382/288 is 12147982.

LCM(98/302, 649/755, 382/288) = 12147982

LCM of 98/302, 649/755, 382/288

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 98/302,649/755,382/288

Given numbers are 98/302,649/755,382/288

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 98,649,382

Least Common Multiple of Numerators i.e. LCM of 98,649,382 is 12147982.

GCF of Denominators means GCF of 302,755,288 as per the given fractions.

GCF of 302,755,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,649,382

LCM of Fractions 98/302,649/755,382/288 is 12147982

2 98, 649, 382
49, 649, 191

∴ So the LCM of the given numbers is 2 x 49 x 649 x 191 = 12147982

Least Common Multiple of 98,649,382 with GCF Formula

Least Common Multiple of 98,649,382 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 98,649,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,649,382) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(98,649,382) x common factors =1 x 2 = 2

LCM(98,649,382) = ( 98 × 649 × 382 ) / 2

LCM(98,649,382) = 24295964 / 2

LCM(98,649,382) = 12147982


Lets's calculate GCF of 302,755,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12147982/1

Therefore the LCM of Fractions 98/302,649/755,382/288 is 12147982

Greatest Common Factor of 302,755,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,755,288 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 302,755,288 . The biggest common factor number is the GCF number.
So the greatest common factor 302,755,288 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 98/302, 649/755, 382/288

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 98/302, 649/755, 382/288?

Answer: LCM of Numerators as per given numbers 98/302, 649/755, 382/288 is

LCM of Numerators i.e. for 98,649,382 is 12147982

GCF of denominators i.e. for 302,755,288 is 1.

Thus, LCM of Fractions is 12147982.Finally, LCM of Fractions for 98/302, 649/755, 382/288 is 12147982.