Least Common Multiple of 235/71, 397/43, 141/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 235/71, 397/43, 141/171 quickly i.e. 279885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 235/71, 397/43, 141/171 is 279885.

LCM(235/71, 397/43, 141/171) = 279885

LCM of 235/71, 397/43, 141/171

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 235/71,397/43,141/171

Given numbers are 235/71,397/43,141/171

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 235,397,141

Least Common Multiple of Numerators i.e. LCM of 235,397,141 is 279885.

GCF of Denominators means GCF of 71,43,171 as per the given fractions.

GCF of 71,43,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 235,397,141

LCM of Fractions 235/71,397/43,141/171 is 279885

47 235, 397, 141
5, 397, 3

∴ So the LCM of the given numbers is 47 x 5 x 397 x 3 = 279885

Least Common Multiple of 235,397,141 with GCF Formula

Least Common Multiple of 235,397,141 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 235,397,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(235,397,141) = 1

common factors(in case of two or more numbers have common factors) = 47

GCF(235,397,141) x common factors =1 x 47 = 47

LCM(235,397,141) = ( 235 × 397 × 141 ) / 47

LCM(235,397,141) = 13154595 / 47

LCM(235,397,141) = 279885


Lets's calculate GCF of 71,43,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279885/1

Therefore the LCM of Fractions 235/71,397/43,141/171 is 279885

Greatest Common Factor of 71,43,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,43,171 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 71,43,171 . The biggest common factor number is the GCF number.
So the greatest common factor 71,43,171 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 235/71, 397/43, 141/171

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 235/71, 397/43, 141/171?

Answer: LCM of Numerators as per given numbers 235/71, 397/43, 141/171 is

LCM of Numerators i.e. for 235,397,141 is 279885

GCF of denominators i.e. for 71,43,171 is 1.

Thus, LCM of Fractions is 279885.Finally, LCM of Fractions for 235/71, 397/43, 141/171 is 279885.