Least Common Multiple of 96/542, 71/798, 342/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/542, 71/798, 342/637 quickly i.e. 388512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/542, 71/798, 342/637 is 388512.

LCM(96/542, 71/798, 342/637) = 388512

LCM of 96/542, 71/798, 342/637

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 96/542,71/798,342/637

Given numbers are 96/542,71/798,342/637

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 96,71,342

Least Common Multiple of Numerators i.e. LCM of 96,71,342 is 388512.

GCF of Denominators means GCF of 542,798,637 as per the given fractions.

GCF of 542,798,637 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,71,342

LCM of Fractions 96/542,71/798,342/637 is 388512

2 96, 71, 342
3 48, 71, 171
16, 71, 57

∴ So the LCM of the given numbers is 2 x 3 x 16 x 71 x 57 = 388512

Least Common Multiple of 96,71,342 with GCF Formula

Least Common Multiple of 96,71,342 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 96,71,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,71,342) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,71,342) x common factors =1 x 6 = 6

LCM(96,71,342) = ( 96 × 71 × 342 ) / 6

LCM(96,71,342) = 2331072 / 6

LCM(96,71,342) = 388512


Lets's calculate GCF of 542,798,637

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 388512/1

Therefore the LCM of Fractions 96/542,71/798,342/637 is 388512

Greatest Common Factor of 542,798,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,798,637 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 542,798,637 . The biggest common factor number is the GCF number.
So the greatest common factor 542,798,637 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 96/542, 71/798, 342/637

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 96/542, 71/798, 342/637?

Answer: LCM of Numerators as per given numbers 96/542, 71/798, 342/637 is

LCM of Numerators i.e. for 96,71,342 is 388512

GCF of denominators i.e. for 542,798,637 is 1.

Thus, LCM of Fractions is 388512.Finally, LCM of Fractions for 96/542, 71/798, 342/637 is 388512.