Least Common Multiple of 272/301, 766/304, 898/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/301, 766/304, 898/384 quickly i.e. 46775024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/301, 766/304, 898/384 is 46775024.

LCM(272/301, 766/304, 898/384) = 46775024

LCM of 272/301, 766/304, 898/384

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 272/301,766/304,898/384

Given numbers are 272/301,766/304,898/384

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 272,766,898

Least Common Multiple of Numerators i.e. LCM of 272,766,898 is 46775024.

GCF of Denominators means GCF of 301,304,384 as per the given fractions.

GCF of 301,304,384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,766,898

LCM of Fractions 272/301,766/304,898/384 is 46775024

2 272, 766, 898
136, 383, 449

∴ So the LCM of the given numbers is 2 x 136 x 383 x 449 = 46775024

Least Common Multiple of 272,766,898 with GCF Formula

Least Common Multiple of 272,766,898 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 272,766,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,766,898) = 2

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

GCF(272,766,898) x common factors =2 x 2 = 4

LCM(272,766,898) = ( 272 × 766 × 898 ) / 4

LCM(272,766,898) = 187100096 / 4

LCM(272,766,898) = 46775024


Lets's calculate GCF of 301,304,384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46775024/1

Therefore the LCM of Fractions 272/301,766/304,898/384 is 46775024

Greatest Common Factor of 301,304,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,304,384 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 301,304,384 . The biggest common factor number is the GCF number.
So the greatest common factor 301,304,384 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 272/301, 766/304, 898/384

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 272/301, 766/304, 898/384?

Answer: LCM of Numerators as per given numbers 272/301, 766/304, 898/384 is

LCM of Numerators i.e. for 272,766,898 is 46775024

GCF of denominators i.e. for 301,304,384 is 1.

Thus, LCM of Fractions is 46775024.Finally, LCM of Fractions for 272/301, 766/304, 898/384 is 46775024.