Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 793/60, 520/4235 quickly i.e. 6344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 793/60, 520/4235 is 6344.
LCM(793/60, 520/4235) = 6344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 793/60,520/4235
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 793,520
Least Common Multiple of Numerators i.e. LCM of 793,520 is 31720.
GCF of Denominators means GCF of 60,4235 as per the given fractions.
GCF of 60,4235 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 793,520
13 | 793, 520 |
61, 40 |
∴ So the LCM of the given numbers is 13 x 61 x 40 = 31720
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 793,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(793,520) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(793,520) x common factors =13 x 1 = 13
LCM(793,520) = ( 793 × 520 ) / 13
LCM(793,520) = 412360 / 13
LCM(793,520) = 31720
Lets's calculate GCF of 60,4235
5 | 60, 4235 |
12, 847 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31720/5
Therefore the LCM of Fractions 793/60,520/4235 is 6344
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 4235
List of positive integer factors of 4235 that divides 4235 without a remainder.
1,5,7,11,35,55,77,121,385,605,847,4235
Greatest Common Factor
We found the factors 60,4235 . The biggest common factor number is the GCF number.
So the greatest common factor 60,4235 is 5.
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 793/60, 520/4235?
Answer: LCM of Numerators as per given numbers 793/60, 520/4235 is
LCM of Numerators i.e. for 793,520 is 31720
GCF of denominators i.e. for 60,4235 is 5.
Thus, LCM of Fractions is 6344.Finally, LCM of Fractions for 793/60, 520/4235 is 6344.