Least Common Multiple of 138/68, 115/60, 605/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/68, 115/60, 605/409 quickly i.e. 83490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/68, 115/60, 605/409 is 83490.

LCM(138/68, 115/60, 605/409) = 83490

LCM of 138/68, 115/60, 605/409

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 138/68,115/60,605/409

Given numbers are 138/68,115/60,605/409

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 138,115,605

Least Common Multiple of Numerators i.e. LCM of 138,115,605 is 83490.

GCF of Denominators means GCF of 68,60,409 as per the given fractions.

GCF of 68,60,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,115,605

LCM of Fractions 138/68,115/60,605/409 is 83490

5 138, 115, 605
23 138, 23, 121
6, 1, 121

∴ So the LCM of the given numbers is 5 x 23 x 6 x 1 x 121 = 83490

Least Common Multiple of 138,115,605 with GCF Formula

Least Common Multiple of 138,115,605 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 138,115,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,115,605) = 1

common factors(in case of two or more numbers have common factors) = 115

GCF(138,115,605) x common factors =1 x 115 = 115

LCM(138,115,605) = ( 138 × 115 × 605 ) / 115

LCM(138,115,605) = 9601350 / 115

LCM(138,115,605) = 83490


Lets's calculate GCF of 68,60,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83490/1

Therefore the LCM of Fractions 138/68,115/60,605/409 is 83490

Greatest Common Factor of 68,60,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,60,409 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 409

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

1,409

Greatest Common Factor

We found the factors 68,60,409 . The biggest common factor number is the GCF number.
So the greatest common factor 68,60,409 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 138/68, 115/60, 605/409

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 138/68, 115/60, 605/409?

Answer: LCM of Numerators as per given numbers 138/68, 115/60, 605/409 is

LCM of Numerators i.e. for 138,115,605 is 83490

GCF of denominators i.e. for 68,60,409 is 1.

Thus, LCM of Fractions is 83490.Finally, LCM of Fractions for 138/68, 115/60, 605/409 is 83490.