Least Common Multiple of 71/409, 706/52, 138/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/409, 706/52, 138/795 quickly i.e. 3458694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/409, 706/52, 138/795 is 3458694.

LCM(71/409, 706/52, 138/795) = 3458694

LCM of 71/409, 706/52, 138/795

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 71/409,706/52,138/795

Given numbers are 71/409,706/52,138/795

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 71,706,138

Least Common Multiple of Numerators i.e. LCM of 71,706,138 is 3458694.

GCF of Denominators means GCF of 409,52,795 as per the given fractions.

GCF of 409,52,795 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,706,138

LCM of Fractions 71/409,706/52,138/795 is 3458694

2 71, 706, 138
71, 353, 69

∴ So the LCM of the given numbers is 2 x 71 x 353 x 69 = 3458694

Least Common Multiple of 71,706,138 with GCF Formula

Least Common Multiple of 71,706,138 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 71,706,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,706,138) = 1

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

GCF(71,706,138) x common factors =1 x 2 = 2

LCM(71,706,138) = ( 71 × 706 × 138 ) / 2

LCM(71,706,138) = 6917388 / 2

LCM(71,706,138) = 3458694


Lets's calculate GCF of 409,52,795

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3458694/1

Therefore the LCM of Fractions 71/409,706/52,138/795 is 3458694

Greatest Common Factor of 409,52,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,52,795 By Matching Biggest Common Factor Method

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 409,52,795 . The biggest common factor number is the GCF number.
So the greatest common factor 409,52,795 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 71/409, 706/52, 138/795

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 71/409, 706/52, 138/795?

Answer: LCM of Numerators as per given numbers 71/409, 706/52, 138/795 is

LCM of Numerators i.e. for 71,706,138 is 3458694

GCF of denominators i.e. for 409,52,795 is 1.

Thus, LCM of Fractions is 3458694.Finally, LCM of Fractions for 71/409, 706/52, 138/795 is 3458694.