Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/8, 31/84, 44/56 quickly i.e. 5456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/8, 31/84, 44/56 is 5456.
LCM(64/8, 31/84, 44/56) = 5456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/8,31/84,44/56
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 64,31,44
Least Common Multiple of Numerators i.e. LCM of 64,31,44 is 21824.
GCF of Denominators means GCF of 8,84,56 as per the given fractions.
GCF of 8,84,56 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,31,44
2 | 64, 31, 44 |
2 | 32, 31, 22 |
16, 31, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 31 x 11 = 21824
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 64,31,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,31,44) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(64,31,44) x common factors =1 x 4 = 4
LCM(64,31,44) = ( 64 × 31 × 44 ) / 4
LCM(64,31,44) = 87296 / 4
LCM(64,31,44) = 21824
Lets's calculate GCF of 8,84,56
2 | 8, 84, 56 |
2 | 4, 42, 28 |
2, 21, 14 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21824/4
Therefore the LCM of Fractions 64/8,31/84,44/56 is 5456
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Greatest Common Factor
We found the factors 8,84,56 . The biggest common factor number is the GCF number.
So the greatest common factor 8,84,56 is 4.
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 64/8, 31/84, 44/56?
Answer: LCM of Numerators as per given numbers 64/8, 31/84, 44/56 is
LCM of Numerators i.e. for 64,31,44 is 21824
GCF of denominators i.e. for 8,84,56 is 4.
Thus, LCM of Fractions is 5456.Finally, LCM of Fractions for 64/8, 31/84, 44/56 is 5456.