Least Common Multiple of 406/26, 138/71, 305/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 406/26, 138/71, 305/39 quickly i.e. 8544270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 406/26, 138/71, 305/39 is 8544270.

LCM(406/26, 138/71, 305/39) = 8544270

LCM of 406/26, 138/71, 305/39

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 406/26,138/71,305/39

Given numbers are 406/26,138/71,305/39

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 406,138,305

Least Common Multiple of Numerators i.e. LCM of 406,138,305 is 8544270.

GCF of Denominators means GCF of 26,71,39 as per the given fractions.

GCF of 26,71,39 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 406,138,305

LCM of Fractions 406/26,138/71,305/39 is 8544270

2 406, 138, 305
203, 69, 305

∴ So the LCM of the given numbers is 2 x 203 x 69 x 305 = 8544270

Least Common Multiple of 406,138,305 with GCF Formula

Least Common Multiple of 406,138,305 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 406,138,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,138,305) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(406,138,305) x common factors =1 x 2 = 2

LCM(406,138,305) = ( 406 × 138 × 305 ) / 2

LCM(406,138,305) = 17088540 / 2

LCM(406,138,305) = 8544270


Lets's calculate GCF of 26,71,39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8544270/1

Therefore the LCM of Fractions 406/26,138/71,305/39 is 8544270

Greatest Common Factor of 26,71,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,71,39 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 71

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

1,71

Factors of 39

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

1,3,13,39

Greatest Common Factor

We found the factors 26,71,39 . The biggest common factor number is the GCF number.
So the greatest common factor 26,71,39 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 406/26, 138/71, 305/39

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 406/26, 138/71, 305/39?

Answer: LCM of Numerators as per given numbers 406/26, 138/71, 305/39 is

LCM of Numerators i.e. for 406,138,305 is 8544270

GCF of denominators i.e. for 26,71,39 is 1.

Thus, LCM of Fractions is 8544270.Finally, LCM of Fractions for 406/26, 138/71, 305/39 is 8544270.