Least Common Multiple of 59/422, 14/267, 238/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/422, 14/267, 238/861 quickly i.e. 14042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/422, 14/267, 238/861 is 14042.

LCM(59/422, 14/267, 238/861) = 14042

LCM of 59/422, 14/267, 238/861

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 59/422,14/267,238/861

Given numbers are 59/422,14/267,238/861

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 59,14,238

Least Common Multiple of Numerators i.e. LCM of 59,14,238 is 14042.

GCF of Denominators means GCF of 422,267,861 as per the given fractions.

GCF of 422,267,861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,14,238

LCM of Fractions 59/422,14/267,238/861 is 14042

2 59, 14, 238
7 59, 7, 119
59, 1, 17

∴ So the LCM of the given numbers is 2 x 7 x 59 x 1 x 17 = 14042

Least Common Multiple of 59,14,238 with GCF Formula

Least Common Multiple of 59,14,238 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 59,14,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,14,238) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(59,14,238) x common factors =1 x 14 = 14

LCM(59,14,238) = ( 59 × 14 × 238 ) / 14

LCM(59,14,238) = 196588 / 14

LCM(59,14,238) = 14042


Lets's calculate GCF of 422,267,861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14042/1

Therefore the LCM of Fractions 59/422,14/267,238/861 is 14042

Greatest Common Factor of 422,267,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 422,267,861 By Matching Biggest Common Factor Method

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 422,267,861 . The biggest common factor number is the GCF number.
So the greatest common factor 422,267,861 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 59/422, 14/267, 238/861

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 59/422, 14/267, 238/861?

Answer: LCM of Numerators as per given numbers 59/422, 14/267, 238/861 is

LCM of Numerators i.e. for 59,14,238 is 14042

GCF of denominators i.e. for 422,267,861 is 1.

Thus, LCM of Fractions is 14042.Finally, LCM of Fractions for 59/422, 14/267, 238/861 is 14042.