Least Common Multiple of 412/39, 838/1027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/39, 838/1027 quickly i.e. 172628/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/39, 838/1027 is 172628/13.

LCM(412/39, 838/1027) = 172628/13

LCM of 412/39, 838/1027

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 412/39,838/1027

Given numbers are 412/39,838/1027

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 412,838

Least Common Multiple of Numerators i.e. LCM of 412,838 is 172628.

GCF of Denominators means GCF of 39,1027 as per the given fractions.

GCF of 39,1027 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,838

LCM of Fractions 412/39,838/1027 is 172628/13

2 412, 838
206, 419

∴ So the LCM of the given numbers is 2 x 206 x 419 = 172628

Least Common Multiple of 412,838 with GCF Formula

Least Common Multiple of 412,838 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 412,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,838) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(412,838) x common factors =2 x 1 = 2

LCM(412,838) = ( 412 × 838 ) / 2

LCM(412,838) = 345256 / 2

LCM(412,838) = 172628


Lets's calculate GCF of 39,1027

13 39, 1027
3, 79

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172628/13

Therefore the LCM of Fractions 412/39,838/1027 is 172628/13

Greatest Common Factor of 39,1027 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,1027 By Matching Biggest Common Factor Method

Factors of 39

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

1,3,13,39

Factors of 1027

List of positive integer factors of 1027 that divides 1027 without a remainder.

1,13,79,1027

Greatest Common Factor

We found the factors 39,1027 . The biggest common factor number is the GCF number.
So the greatest common factor 39,1027 is 13.


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 412/39, 838/1027

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 412/39, 838/1027?

Answer: LCM of Numerators as per given numbers 412/39, 838/1027 is

LCM of Numerators i.e. for 412,838 is 172628

GCF of denominators i.e. for 39,1027 is 13.

Thus, LCM of Fractions is 172628/13.Finally, LCM of Fractions for 412/39, 838/1027 is 172628/13.