Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6718/944, 9833/6352 quickly i.e. 66058094/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6718/944, 9833/6352 is 66058094/16.
LCM(6718/944, 9833/6352) = 66058094/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6718/944,9833/6352
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 6718,9833
Least Common Multiple of Numerators i.e. LCM of 6718,9833 is 66058094.
GCF of Denominators means GCF of 944,6352 as per the given fractions.
GCF of 944,6352 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6718,9833
Given numbers has no common factors except 1. So, there LCM is their product i.e 66058094
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 6718,9833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6718,9833) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6718,9833) x common factors =1 x 1 = 1
LCM(6718,9833) = ( 6718 × 9833 ) / 1
LCM(6718,9833) = 66058094 / 1
LCM(6718,9833) = 66058094
Lets's calculate GCF of 944,6352
2 | 944, 6352 |
2 | 472, 3176 |
2 | 236, 1588 |
2 | 118, 794 |
59, 397 |
∴ 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 = 66058094/16
Therefore the LCM of Fractions 6718/944,9833/6352 is 66058094/16
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 6352
List of positive integer factors of 6352 that divides 6352 without a remainder.
1,2,4,8,16,397,794,1588,3176,6352
Greatest Common Factor
We found the factors 944,6352 . The biggest common factor number is the GCF number.
So the greatest common factor 944,6352 is 16.
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 6718/944, 9833/6352?
Answer: LCM of Numerators as per given numbers 6718/944, 9833/6352 is
LCM of Numerators i.e. for 6718,9833 is 66058094
GCF of denominators i.e. for 944,6352 is 16.
Thus, LCM of Fractions is 66058094/16.Finally, LCM of Fractions for 6718/944, 9833/6352 is 66058094/16.