Least Common Multiple of 1028/296, 4724/3093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1028/296, 4724/3093 quickly i.e. 1214068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1028/296, 4724/3093 is 1214068.

LCM(1028/296, 4724/3093) = 1214068

LCM of 1028/296, 4724/3093

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 1028/296,4724/3093

Given numbers are 1028/296,4724/3093

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 1028,4724

Least Common Multiple of Numerators i.e. LCM of 1028,4724 is 1214068.

GCF of Denominators means GCF of 296,3093 as per the given fractions.

GCF of 296,3093 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1028,4724

LCM of Fractions 1028/296,4724/3093 is 1214068

2 1028, 4724
2 514, 2362
257, 1181

∴ So the LCM of the given numbers is 2 x 2 x 257 x 1181 = 1214068

Least Common Multiple of 1028,4724 with GCF Formula

Least Common Multiple of 1028,4724 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 1028,4724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1028,4724) = 4

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

GCF(1028,4724) x common factors =4 x 1 = 4

LCM(1028,4724) = ( 1028 × 4724 ) / 4

LCM(1028,4724) = 4856272 / 4

LCM(1028,4724) = 1214068


Lets's calculate GCF of 296,3093

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1214068/1

Therefore the LCM of Fractions 1028/296,4724/3093 is 1214068

Greatest Common Factor of 296,3093 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,3093 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 3093

List of positive integer factors of 3093 that divides 3093 without a remainder.

1,3,1031,3093

Greatest Common Factor

We found the factors 296,3093 . The biggest common factor number is the GCF number.
So the greatest common factor 296,3093 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 1028/296, 4724/3093

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 1028/296, 4724/3093?

Answer: LCM of Numerators as per given numbers 1028/296, 4724/3093 is

LCM of Numerators i.e. for 1028,4724 is 1214068

GCF of denominators i.e. for 296,3093 is 1.

Thus, LCM of Fractions is 1214068.Finally, LCM of Fractions for 1028/296, 4724/3093 is 1214068.