Least Common Multiple of 26/96, 23/16, 106/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/96, 23/16, 106/208 quickly i.e. 31694/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/96, 23/16, 106/208 is 31694/16.

LCM(26/96, 23/16, 106/208) = 31694/16

LCM of 26/96, 23/16, 106/208

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 26/96,23/16,106/208

Given numbers are 26/96,23/16,106/208

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 26,23,106

Least Common Multiple of Numerators i.e. LCM of 26,23,106 is 31694.

GCF of Denominators means GCF of 96,16,208 as per the given fractions.

GCF of 96,16,208 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,23,106

LCM of Fractions 26/96,23/16,106/208 is 31694/16

2 26, 23, 106
13, 23, 53

∴ So the LCM of the given numbers is 2 x 13 x 23 x 53 = 31694

Least Common Multiple of 26,23,106 with GCF Formula

Least Common Multiple of 26,23,106 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 26,23,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,23,106) = 1

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

GCF(26,23,106) x common factors =1 x 2 = 2

LCM(26,23,106) = ( 26 × 23 × 106 ) / 2

LCM(26,23,106) = 63388 / 2

LCM(26,23,106) = 31694


Lets's calculate GCF of 96,16,208

2 96, 16, 208
2 48, 8, 104
2 24, 4, 52
2 12, 2, 26
6, 1, 13

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31694/16

Therefore the LCM of Fractions 26/96,23/16,106/208 is 31694/16

Greatest Common Factor of 96,16,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,16,208 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 96,16,208 . The biggest common factor number is the GCF number.
So the greatest common factor 96,16,208 is 16.


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 26/96, 23/16, 106/208

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 26/96, 23/16, 106/208?

Answer: LCM of Numerators as per given numbers 26/96, 23/16, 106/208 is

LCM of Numerators i.e. for 26,23,106 is 31694

GCF of denominators i.e. for 96,16,208 is 16.

Thus, LCM of Fractions is 31694/16.Finally, LCM of Fractions for 26/96, 23/16, 106/208 is 31694/16.