Least Common Multiple of 752/85, 746/2289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/85, 746/2289 quickly i.e. 280496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/85, 746/2289 is 280496.

LCM(752/85, 746/2289) = 280496

LCM of 752/85, 746/2289

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 752/85,746/2289

Given numbers are 752/85,746/2289

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 752,746

Least Common Multiple of Numerators i.e. LCM of 752,746 is 280496.

GCF of Denominators means GCF of 85,2289 as per the given fractions.

GCF of 85,2289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,746

LCM of Fractions 752/85,746/2289 is 280496

2 752, 746
376, 373

∴ So the LCM of the given numbers is 2 x 376 x 373 = 280496

Least Common Multiple of 752,746 with GCF Formula

Least Common Multiple of 752,746 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 752,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,746) = 2

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

GCF(752,746) x common factors =2 x 1 = 2

LCM(752,746) = ( 752 × 746 ) / 2

LCM(752,746) = 560992 / 2

LCM(752,746) = 280496


Lets's calculate GCF of 85,2289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280496/1

Therefore the LCM of Fractions 752/85,746/2289 is 280496

Greatest Common Factor of 85,2289 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,2289 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 2289

List of positive integer factors of 2289 that divides 2289 without a remainder.

1,3,7,21,109,327,763,2289

Greatest Common Factor

We found the factors 85,2289 . The biggest common factor number is the GCF number.
So the greatest common factor 85,2289 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 752/85, 746/2289

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 752/85, 746/2289?

Answer: LCM of Numerators as per given numbers 752/85, 746/2289 is

LCM of Numerators i.e. for 752,746 is 280496

GCF of denominators i.e. for 85,2289 is 1.

Thus, LCM of Fractions is 280496.Finally, LCM of Fractions for 752/85, 746/2289 is 280496.