Least Common Multiple of 96/543, 174/56, 139/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/543, 174/56, 139/642 quickly i.e. 386976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/543, 174/56, 139/642 is 386976.

LCM(96/543, 174/56, 139/642) = 386976

LCM of 96/543, 174/56, 139/642

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 96/543,174/56,139/642

Given numbers are 96/543,174/56,139/642

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 96,174,139

Least Common Multiple of Numerators i.e. LCM of 96,174,139 is 386976.

GCF of Denominators means GCF of 543,56,642 as per the given fractions.

GCF of 543,56,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,174,139

LCM of Fractions 96/543,174/56,139/642 is 386976

2 96, 174, 139
3 48, 87, 139
16, 29, 139

∴ So the LCM of the given numbers is 2 x 3 x 16 x 29 x 139 = 386976

Least Common Multiple of 96,174,139 with GCF Formula

Least Common Multiple of 96,174,139 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 96,174,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,174,139) = 1

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

GCF(96,174,139) x common factors =1 x 6 = 6

LCM(96,174,139) = ( 96 × 174 × 139 ) / 6

LCM(96,174,139) = 2321856 / 6

LCM(96,174,139) = 386976


Lets's calculate GCF of 543,56,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386976/1

Therefore the LCM of Fractions 96/543,174/56,139/642 is 386976

Greatest Common Factor of 543,56,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,56,642 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 543,56,642 . The biggest common factor number is the GCF number.
So the greatest common factor 543,56,642 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 96/543, 174/56, 139/642

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 96/543, 174/56, 139/642?

Answer: LCM of Numerators as per given numbers 96/543, 174/56, 139/642 is

LCM of Numerators i.e. for 96,174,139 is 386976

GCF of denominators i.e. for 543,56,642 is 1.

Thus, LCM of Fractions is 386976.Finally, LCM of Fractions for 96/543, 174/56, 139/642 is 386976.