Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6952/944, 9722/7962 quickly i.e. 16896836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6952/944, 9722/7962 is 16896836.
LCM(6952/944, 9722/7962) = 16896836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6952/944,9722/7962
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 6952,9722
Least Common Multiple of Numerators i.e. LCM of 6952,9722 is 33793672.
GCF of Denominators means GCF of 944,7962 as per the given fractions.
GCF of 944,7962 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6952,9722
2 | 6952, 9722 |
3476, 4861 |
∴ So the LCM of the given numbers is 2 x 3476 x 4861 = 33793672
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 6952,9722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6952,9722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6952,9722) x common factors =2 x 1 = 2
LCM(6952,9722) = ( 6952 × 9722 ) / 2
LCM(6952,9722) = 67587344 / 2
LCM(6952,9722) = 33793672
Lets's calculate GCF of 944,7962
2 | 944, 7962 |
472, 3981 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33793672/2
Therefore the LCM of Fractions 6952/944,9722/7962 is 16896836
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 7962
List of positive integer factors of 7962 that divides 7962 without a remainder.
1,2,3,6,1327,2654,3981,7962
Greatest Common Factor
We found the factors 944,7962 . The biggest common factor number is the GCF number.
So the greatest common factor 944,7962 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 6952/944, 9722/7962?
Answer: LCM of Numerators as per given numbers 6952/944, 9722/7962 is
LCM of Numerators i.e. for 6952,9722 is 33793672
GCF of denominators i.e. for 944,7962 is 2.
Thus, LCM of Fractions is 16896836.Finally, LCM of Fractions for 6952/944, 9722/7962 is 16896836.