Least Common Multiple of 636/84, 238/20, 171/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 636/84, 238/20, 171/238 quickly i.e. 2156994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/84, 238/20, 171/238 is 2156994.

LCM(636/84, 238/20, 171/238) = 2156994

LCM of 636/84, 238/20, 171/238

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 636/84,238/20,171/238

Given numbers are 636/84,238/20,171/238

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 636,238,171

Least Common Multiple of Numerators i.e. LCM of 636,238,171 is 4313988.

GCF of Denominators means GCF of 84,20,238 as per the given fractions.

GCF of 84,20,238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,238,171

LCM of Fractions 636/84,238/20,171/238 is 2156994

2 636, 238, 171
3 318, 119, 171
106, 119, 57

∴ So the LCM of the given numbers is 2 x 3 x 106 x 119 x 57 = 4313988

Least Common Multiple of 636,238,171 with GCF Formula

Least Common Multiple of 636,238,171 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 636,238,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,238,171) = 1

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

GCF(636,238,171) x common factors =1 x 6 = 6

LCM(636,238,171) = ( 636 × 238 × 171 ) / 6

LCM(636,238,171) = 25883928 / 6

LCM(636,238,171) = 4313988


Lets's calculate GCF of 84,20,238

2 84, 20, 238
42, 10, 119

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4313988/2

Therefore the LCM of Fractions 636/84,238/20,171/238 is 2156994

Greatest Common Factor of 84,20,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,20,238 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 84,20,238 . The biggest common factor number is the GCF number.
So the greatest common factor 84,20,238 is 2.


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 636/84, 238/20, 171/238

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 636/84, 238/20, 171/238?

Answer: LCM of Numerators as per given numbers 636/84, 238/20, 171/238 is

LCM of Numerators i.e. for 636,238,171 is 4313988

GCF of denominators i.e. for 84,20,238 is 2.

Thus, LCM of Fractions is 2156994.Finally, LCM of Fractions for 636/84, 238/20, 171/238 is 2156994.