Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 79/64, 824/41, 157/113 quickly i.e. 10220072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 79/64, 824/41, 157/113 is 10220072.
LCM(79/64, 824/41, 157/113) = 10220072
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 79/64,824/41,157/113
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 79,824,157
Least Common Multiple of Numerators i.e. LCM of 79,824,157 is 10220072.
GCF of Denominators means GCF of 64,41,113 as per the given fractions.
GCF of 64,41,113 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 79,824,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 10220072
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 79,824,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,824,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,824,157) x common factors =1 x 1 = 1
LCM(79,824,157) = ( 79 × 824 × 157 ) / 1
LCM(79,824,157) = 10220072 / 1
LCM(79,824,157) = 10220072
Lets's calculate GCF of 64,41,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10220072/1
Therefore the LCM of Fractions 79/64,824/41,157/113 is 10220072
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Greatest Common Factor
We found the factors 64,41,113 . The biggest common factor number is the GCF number.
So the greatest common factor 64,41,113 is 1.
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 79/64, 824/41, 157/113?
Answer: LCM of Numerators as per given numbers 79/64, 824/41, 157/113 is
LCM of Numerators i.e. for 79,824,157 is 10220072
GCF of denominators i.e. for 64,41,113 is 1.
Thus, LCM of Fractions is 10220072.Finally, LCM of Fractions for 79/64, 824/41, 157/113 is 10220072.