Least Common Multiple of 28/675, 4334/1337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/675, 4334/1337 quickly i.e. 60676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/675, 4334/1337 is 60676.

LCM(28/675, 4334/1337) = 60676

LCM of 28/675, 4334/1337

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 28/675,4334/1337

Given numbers are 28/675,4334/1337

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 28,4334

Least Common Multiple of Numerators i.e. LCM of 28,4334 is 60676.

GCF of Denominators means GCF of 675,1337 as per the given fractions.

GCF of 675,1337 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,4334

LCM of Fractions 28/675,4334/1337 is 60676

2 28, 4334
14, 2167

∴ So the LCM of the given numbers is 2 x 14 x 2167 = 60676

Least Common Multiple of 28,4334 with GCF Formula

Least Common Multiple of 28,4334 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 28,4334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,4334) = 2

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

GCF(28,4334) x common factors =2 x 1 = 2

LCM(28,4334) = ( 28 × 4334 ) / 2

LCM(28,4334) = 121352 / 2

LCM(28,4334) = 60676


Lets's calculate GCF of 675,1337

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60676/1

Therefore the LCM of Fractions 28/675,4334/1337 is 60676

Greatest Common Factor of 675,1337 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,1337 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 1337

List of positive integer factors of 1337 that divides 1337 without a remainder.

1,7,191,1337

Greatest Common Factor

We found the factors 675,1337 . The biggest common factor number is the GCF number.
So the greatest common factor 675,1337 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/675, 4334/1337

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 28/675, 4334/1337?

Answer: LCM of Numerators as per given numbers 28/675, 4334/1337 is

LCM of Numerators i.e. for 28,4334 is 60676

GCF of denominators i.e. for 675,1337 is 1.

Thus, LCM of Fractions is 60676.Finally, LCM of Fractions for 28/675, 4334/1337 is 60676.