Least Common Multiple of 26/36, 68/60, 233/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/36, 68/60, 233/712 quickly i.e. 51493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/36, 68/60, 233/712 is 51493.

LCM(26/36, 68/60, 233/712) = 51493

LCM of 26/36, 68/60, 233/712

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 26/36,68/60,233/712

Given numbers are 26/36,68/60,233/712

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 26,68,233

Least Common Multiple of Numerators i.e. LCM of 26,68,233 is 205972.

GCF of Denominators means GCF of 36,60,712 as per the given fractions.

GCF of 36,60,712 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,68,233

LCM of Fractions 26/36,68/60,233/712 is 51493

2 26, 68, 233
13, 34, 233

∴ So the LCM of the given numbers is 2 x 13 x 34 x 233 = 205972

Least Common Multiple of 26,68,233 with GCF Formula

Least Common Multiple of 26,68,233 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 26,68,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,68,233) = 1

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

GCF(26,68,233) x common factors =1 x 2 = 2

LCM(26,68,233) = ( 26 × 68 × 233 ) / 2

LCM(26,68,233) = 411944 / 2

LCM(26,68,233) = 205972


Lets's calculate GCF of 36,60,712

2 36, 60, 712
2 18, 30, 356
9, 15, 178

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 205972/4

Therefore the LCM of Fractions 26/36,68/60,233/712 is 51493

Greatest Common Factor of 36,60,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,60,712 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

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 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 36,60,712 . The biggest common factor number is the GCF number.
So the greatest common factor 36,60,712 is 4.


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 26/36, 68/60, 233/712

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 26/36, 68/60, 233/712?

Answer: LCM of Numerators as per given numbers 26/36, 68/60, 233/712 is

LCM of Numerators i.e. for 26,68,233 is 205972

GCF of denominators i.e. for 36,60,712 is 4.

Thus, LCM of Fractions is 51493.Finally, LCM of Fractions for 26/36, 68/60, 233/712 is 51493.