Least Common Multiple of 96/710, 43/517, 351/381

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/710, 43/517, 351/381 quickly i.e. 482976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/710, 43/517, 351/381 is 482976.

LCM(96/710, 43/517, 351/381) = 482976

LCM of 96/710, 43/517, 351/381

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 96/710,43/517,351/381

Given numbers are 96/710,43/517,351/381

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 96,43,351

Least Common Multiple of Numerators i.e. LCM of 96,43,351 is 482976.

GCF of Denominators means GCF of 710,517,381 as per the given fractions.

GCF of 710,517,381 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,43,351

LCM of Fractions 96/710,43/517,351/381 is 482976

3 96, 43, 351
32, 43, 117

∴ So the LCM of the given numbers is 3 x 32 x 43 x 117 = 482976

Least Common Multiple of 96,43,351 with GCF Formula

Least Common Multiple of 96,43,351 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 96,43,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,43,351) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(96,43,351) x common factors =1 x 3 = 3

LCM(96,43,351) = ( 96 × 43 × 351 ) / 3

LCM(96,43,351) = 1448928 / 3

LCM(96,43,351) = 482976


Lets's calculate GCF of 710,517,381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 482976/1

Therefore the LCM of Fractions 96/710,43/517,351/381 is 482976

Greatest Common Factor of 710,517,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,517,381 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 710,517,381 . The biggest common factor number is the GCF number.
So the greatest common factor 710,517,381 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 96/710, 43/517, 351/381

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 96/710, 43/517, 351/381?

Answer: LCM of Numerators as per given numbers 96/710, 43/517, 351/381 is

LCM of Numerators i.e. for 96,43,351 is 482976

GCF of denominators i.e. for 710,517,381 is 1.

Thus, LCM of Fractions is 482976.Finally, LCM of Fractions for 96/710, 43/517, 351/381 is 482976.