Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 798/82, 174/7720 quickly i.e. 11571 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 798/82, 174/7720 is 11571.
LCM(798/82, 174/7720) = 11571
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 798/82,174/7720
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 798,174
Least Common Multiple of Numerators i.e. LCM of 798,174 is 23142.
GCF of Denominators means GCF of 82,7720 as per the given fractions.
GCF of 82,7720 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 798,174
2 | 798, 174 |
3 | 399, 87 |
133, 29 |
∴ So the LCM of the given numbers is 2 x 3 x 133 x 29 = 23142
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 798,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,174) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(798,174) x common factors =6 x 1 = 6
LCM(798,174) = ( 798 × 174 ) / 6
LCM(798,174) = 138852 / 6
LCM(798,174) = 23142
Lets's calculate GCF of 82,7720
2 | 82, 7720 |
41, 3860 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23142/2
Therefore the LCM of Fractions 798/82,174/7720 is 11571
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 7720
List of positive integer factors of 7720 that divides 7720 without a remainder.
1,2,4,5,8,10,20,40,193,386,772,965,1544,1930,3860,7720
Greatest Common Factor
We found the factors 82,7720 . The biggest common factor number is the GCF number.
So the greatest common factor 82,7720 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 798/82, 174/7720?
Answer: LCM of Numerators as per given numbers 798/82, 174/7720 is
LCM of Numerators i.e. for 798,174 is 23142
GCF of denominators i.e. for 82,7720 is 2.
Thus, LCM of Fractions is 11571.Finally, LCM of Fractions for 798/82, 174/7720 is 11571.