Least Common Multiple of 142/94, 181/96, 543/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/94, 181/96, 543/39 quickly i.e. 77106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/94, 181/96, 543/39 is 77106.

LCM(142/94, 181/96, 543/39) = 77106

LCM of 142/94, 181/96, 543/39

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 142/94,181/96,543/39

Given numbers are 142/94,181/96,543/39

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 142,181,543

Least Common Multiple of Numerators i.e. LCM of 142,181,543 is 77106.

GCF of Denominators means GCF of 94,96,39 as per the given fractions.

GCF of 94,96,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,181,543

LCM of Fractions 142/94,181/96,543/39 is 77106

181 142, 181, 543
142, 1, 3

∴ So the LCM of the given numbers is 181 x 142 x 1 x 3 = 77106

Least Common Multiple of 142,181,543 with GCF Formula

Least Common Multiple of 142,181,543 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 142,181,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,181,543) = 1

common factors(in case of two or more numbers have common factors) = 181

GCF(142,181,543) x common factors =1 x 181 = 181

LCM(142,181,543) = ( 142 × 181 × 543 ) / 181

LCM(142,181,543) = 13956186 / 181

LCM(142,181,543) = 77106


Lets's calculate GCF of 94,96,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77106/1

Therefore the LCM of Fractions 142/94,181/96,543/39 is 77106

Greatest Common Factor of 94,96,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,96,39 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 94,96,39 . The biggest common factor number is the GCF number.
So the greatest common factor 94,96,39 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 142/94, 181/96, 543/39

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 142/94, 181/96, 543/39?

Answer: LCM of Numerators as per given numbers 142/94, 181/96, 543/39 is

LCM of Numerators i.e. for 142,181,543 is 77106

GCF of denominators i.e. for 94,96,39 is 1.

Thus, LCM of Fractions is 77106.Finally, LCM of Fractions for 142/94, 181/96, 543/39 is 77106.