Least Common Multiple of 38/68, 26/23, 57/41, 69/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/68, 26/23, 57/41, 69/109 quickly i.e. 34086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/68, 26/23, 57/41, 69/109 is 34086.

LCM(38/68, 26/23, 57/41, 69/109) = 34086

LCM of 38/68, 26/23, 57/41, 69/109

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 38/68,26/23,57/41,69/109

Given numbers are 38/68,26/23,57/41,69/109

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 38,26,57,69

Least Common Multiple of Numerators i.e. LCM of 38,26,57,69 is 34086.

GCF of Denominators means GCF of 68,23,41,109 as per the given fractions.

GCF of 68,23,41,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,26,57,69

LCM of Fractions 38/68,26/23,57/41,69/109 is 34086

2 38, 26, 57, 69
3 19, 13, 57, 69
19 19, 13, 19, 23
1, 13, 1, 23

∴ So the LCM of the given numbers is 2 x 3 x 19 x 1 x 13 x 1 x 23 = 34086

Least Common Multiple of 38,26,57,69 with GCF Formula

Least Common Multiple of 38,26,57,69 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 38,26,57,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,26,57,69) = 1

common factors(in case of two or more numbers have common factors) = 114

GCF(38,26,57,69) x common factors =1 x 114 = 114

LCM(38,26,57,69) = ( 38 × 26 × 57 × 69 ) / 114

LCM(38,26,57,69) = 3885804 / 114

LCM(38,26,57,69) = 34086


Lets's calculate GCF of 68,23,41,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34086/1

Therefore the LCM of Fractions 38/68,26/23,57/41,69/109 is 34086

Greatest Common Factor of 68,23,41,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,23,41,109 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 68,23,41,109 . The biggest common factor number is the GCF number.
So the greatest common factor 68,23,41,109 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 38/68, 26/23, 57/41, 69/109

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 38/68, 26/23, 57/41, 69/109?

Answer: LCM of Numerators as per given numbers 38/68, 26/23, 57/41, 69/109 is

LCM of Numerators i.e. for 38,26,57,69 is 34086

GCF of denominators i.e. for 68,23,41,109 is 1.

Thus, LCM of Fractions is 34086.Finally, LCM of Fractions for 38/68, 26/23, 57/41, 69/109 is 34086.