Least Common Multiple of 394/59, 438/12, 438/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 394/59, 438/12, 438/950 quickly i.e. 86286 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 394/59, 438/12, 438/950 is 86286.

LCM(394/59, 438/12, 438/950) = 86286

LCM of 394/59, 438/12, 438/950

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 394/59,438/12,438/950

Given numbers are 394/59,438/12,438/950

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 394,438,438

Least Common Multiple of Numerators i.e. LCM of 394,438,438 is 86286.

GCF of Denominators means GCF of 59,12,950 as per the given fractions.

GCF of 59,12,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 394,438,438

LCM of Fractions 394/59,438/12,438/950 is 86286

2 394, 438, 438
3 197, 219, 219
73 197, 73, 73
197, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 73 x 197 x 1 x 1 = 86286

Least Common Multiple of 394,438,438 with GCF Formula

Least Common Multiple of 394,438,438 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 394,438,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,438,438) = 2

common factors(in case of two or more numbers have common factors) = 438

GCF(394,438,438) x common factors =2 x 438 = 876

LCM(394,438,438) = ( 394 × 438 × 438 ) / 876

LCM(394,438,438) = 75586536 / 876

LCM(394,438,438) = 86286


Lets's calculate GCF of 59,12,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86286/1

Therefore the LCM of Fractions 394/59,438/12,438/950 is 86286

Greatest Common Factor of 59,12,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,12,950 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 59,12,950 . The biggest common factor number is the GCF number.
So the greatest common factor 59,12,950 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 394/59, 438/12, 438/950

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 394/59, 438/12, 438/950?

Answer: LCM of Numerators as per given numbers 394/59, 438/12, 438/950 is

LCM of Numerators i.e. for 394,438,438 is 86286

GCF of denominators i.e. for 59,12,950 is 1.

Thus, LCM of Fractions is 86286.Finally, LCM of Fractions for 394/59, 438/12, 438/950 is 86286.