Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/26, 868/56, 128/934 quickly i.e. 13888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/26, 868/56, 128/934 is 13888.
LCM(31/26, 868/56, 128/934) = 13888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/26,868/56,128/934
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 31,868,128
Least Common Multiple of Numerators i.e. LCM of 31,868,128 is 27776.
GCF of Denominators means GCF of 26,56,934 as per the given fractions.
GCF of 26,56,934 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,868,128
2 | 31, 868, 128 |
2 | 31, 434, 64 |
31 | 31, 217, 32 |
1, 7, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 1 x 7 x 32 = 27776
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 31,868,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,868,128) = 1
common factors(in case of two or more numbers have common factors) = 124
GCF(31,868,128) x common factors =1 x 124 = 124
LCM(31,868,128) = ( 31 × 868 × 128 ) / 124
LCM(31,868,128) = 3444224 / 124
LCM(31,868,128) = 27776
Lets's calculate GCF of 26,56,934
2 | 26, 56, 934 |
13, 28, 467 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27776/2
Therefore the LCM of Fractions 31/26,868/56,128/934 is 13888
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Greatest Common Factor
We found the factors 26,56,934 . The biggest common factor number is the GCF number.
So the greatest common factor 26,56,934 is 2.
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 31/26, 868/56, 128/934?
Answer: LCM of Numerators as per given numbers 31/26, 868/56, 128/934 is
LCM of Numerators i.e. for 31,868,128 is 27776
GCF of denominators i.e. for 26,56,934 is 2.
Thus, LCM of Fractions is 13888.Finally, LCM of Fractions for 31/26, 868/56, 128/934 is 13888.