Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/40, 62/16, 93/23, 43/336 quickly i.e. 103974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/40, 62/16, 93/23, 43/336 is 103974.
LCM(26/40, 62/16, 93/23, 43/336) = 103974
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/40,62/16,93/23,43/336
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 26,62,93,43
Least Common Multiple of Numerators i.e. LCM of 26,62,93,43 is 103974.
GCF of Denominators means GCF of 40,16,23,336 as per the given fractions.
GCF of 40,16,23,336 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,62,93,43
2 | 26, 62, 93, 43 |
31 | 13, 31, 93, 43 |
13, 1, 3, 43 |
∴ So the LCM of the given numbers is 2 x 31 x 13 x 1 x 3 x 43 = 103974
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 26,62,93,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,62,93,43) = 1
common factors(in case of two or more numbers have common factors) = 62
GCF(26,62,93,43) x common factors =1 x 62 = 62
LCM(26,62,93,43) = ( 26 × 62 × 93 × 43 ) / 62
LCM(26,62,93,43) = 6446388 / 62
LCM(26,62,93,43) = 103974
Lets's calculate GCF of 40,16,23,336
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103974/1
Therefore the LCM of Fractions 26/40,62/16,93/23,43/336 is 103974
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 40,16,23,336 . The biggest common factor number is the GCF number.
So the greatest common factor 40,16,23,336 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 26/40, 62/16, 93/23, 43/336?
Answer: LCM of Numerators as per given numbers 26/40, 62/16, 93/23, 43/336 is
LCM of Numerators i.e. for 26,62,93,43 is 103974
GCF of denominators i.e. for 40,16,23,336 is 1.
Thus, LCM of Fractions is 103974.Finally, LCM of Fractions for 26/40, 62/16, 93/23, 43/336 is 103974.