Least Common Multiple of 28/298, 96/913, 103/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/298, 96/913, 103/301 quickly i.e. 69216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/298, 96/913, 103/301 is 69216.

LCM(28/298, 96/913, 103/301) = 69216

LCM of 28/298, 96/913, 103/301

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 28/298,96/913,103/301

Given numbers are 28/298,96/913,103/301

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 28,96,103

Least Common Multiple of Numerators i.e. LCM of 28,96,103 is 69216.

GCF of Denominators means GCF of 298,913,301 as per the given fractions.

GCF of 298,913,301 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,96,103

LCM of Fractions 28/298,96/913,103/301 is 69216

2 28, 96, 103
2 14, 48, 103
7, 24, 103

∴ So the LCM of the given numbers is 2 x 2 x 7 x 24 x 103 = 69216

Least Common Multiple of 28,96,103 with GCF Formula

Least Common Multiple of 28,96,103 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 28,96,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,96,103) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(28,96,103) x common factors =1 x 4 = 4

LCM(28,96,103) = ( 28 × 96 × 103 ) / 4

LCM(28,96,103) = 276864 / 4

LCM(28,96,103) = 69216


Lets's calculate GCF of 298,913,301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69216/1

Therefore the LCM of Fractions 28/298,96/913,103/301 is 69216

Greatest Common Factor of 298,913,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,913,301 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 301

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

1,7,43,301

Greatest Common Factor

We found the factors 298,913,301 . The biggest common factor number is the GCF number.
So the greatest common factor 298,913,301 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 28/298, 96/913, 103/301

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 28/298, 96/913, 103/301?

Answer: LCM of Numerators as per given numbers 28/298, 96/913, 103/301 is

LCM of Numerators i.e. for 28,96,103 is 69216

GCF of denominators i.e. for 298,913,301 is 1.

Thus, LCM of Fractions is 69216.Finally, LCM of Fractions for 28/298, 96/913, 103/301 is 69216.