Least Common Multiple of 782/96, 738/7173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/96, 738/7173 quickly i.e. 96186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/96, 738/7173 is 96186.

LCM(782/96, 738/7173) = 96186

LCM of 782/96, 738/7173

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 782/96,738/7173

Given numbers are 782/96,738/7173

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 782,738

Least Common Multiple of Numerators i.e. LCM of 782,738 is 288558.

GCF of Denominators means GCF of 96,7173 as per the given fractions.

GCF of 96,7173 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,738

LCM of Fractions 782/96,738/7173 is 96186

2 782, 738
391, 369

∴ So the LCM of the given numbers is 2 x 391 x 369 = 288558

Least Common Multiple of 782,738 with GCF Formula

Least Common Multiple of 782,738 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 782,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,738) = 2

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

GCF(782,738) x common factors =2 x 1 = 2

LCM(782,738) = ( 782 × 738 ) / 2

LCM(782,738) = 577116 / 2

LCM(782,738) = 288558


Lets's calculate GCF of 96,7173

3 96, 7173
32, 2391

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288558/3

Therefore the LCM of Fractions 782/96,738/7173 is 96186

Greatest Common Factor of 96,7173 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,7173 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 7173

List of positive integer factors of 7173 that divides 7173 without a remainder.

1,3,9,797,2391,7173

Greatest Common Factor

We found the factors 96,7173 . The biggest common factor number is the GCF number.
So the greatest common factor 96,7173 is 3.


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 782/96, 738/7173

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 782/96, 738/7173?

Answer: LCM of Numerators as per given numbers 782/96, 738/7173 is

LCM of Numerators i.e. for 782,738 is 288558

GCF of denominators i.e. for 96,7173 is 3.

Thus, LCM of Fractions is 96186.Finally, LCM of Fractions for 782/96, 738/7173 is 96186.