Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/32, 8/11, 93/53, 26/341 quickly i.e. 9672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/32, 8/11, 93/53, 26/341 is 9672.
LCM(2/32, 8/11, 93/53, 26/341) = 9672
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/32,8/11,93/53,26/341
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 2,8,93,26
Least Common Multiple of Numerators i.e. LCM of 2,8,93,26 is 9672.
GCF of Denominators means GCF of 32,11,53,341 as per the given fractions.
GCF of 32,11,53,341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,8,93,26
2 | 2, 8, 93, 26 |
1, 4, 93, 13 |
∴ So the LCM of the given numbers is 2 x 1 x 4 x 93 x 13 = 9672
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 2,8,93,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,8,93,26) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(2,8,93,26) x common factors =1 x 4 = 4
LCM(2,8,93,26) = ( 2 × 8 × 93 × 26 ) / 4
LCM(2,8,93,26) = 38688 / 4
LCM(2,8,93,26) = 9672
Lets's calculate GCF of 32,11,53,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9672/1
Therefore the LCM of Fractions 2/32,8/11,93/53,26/341 is 9672
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 32,11,53,341 . The biggest common factor number is the GCF number.
So the greatest common factor 32,11,53,341 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 2/32, 8/11, 93/53, 26/341?
Answer: LCM of Numerators as per given numbers 2/32, 8/11, 93/53, 26/341 is
LCM of Numerators i.e. for 2,8,93,26 is 9672
GCF of denominators i.e. for 32,11,53,341 is 1.
Thus, LCM of Fractions is 9672.Finally, LCM of Fractions for 2/32, 8/11, 93/53, 26/341 is 9672.