Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 403/847, 7316/4401 quickly i.e. 95108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 403/847, 7316/4401 is 95108.
LCM(403/847, 7316/4401) = 95108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 403/847,7316/4401
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 403,7316
Least Common Multiple of Numerators i.e. LCM of 403,7316 is 95108.
GCF of Denominators means GCF of 847,4401 as per the given fractions.
GCF of 847,4401 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 403,7316
31 | 403, 7316 |
13, 236 |
∴ So the LCM of the given numbers is 31 x 13 x 236 = 95108
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 403,7316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,7316) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(403,7316) x common factors =31 x 1 = 31
LCM(403,7316) = ( 403 × 7316 ) / 31
LCM(403,7316) = 2948348 / 31
LCM(403,7316) = 95108
Lets's calculate GCF of 847,4401
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95108/1
Therefore the LCM of Fractions 403/847,7316/4401 is 95108
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 4401
List of positive integer factors of 4401 that divides 4401 without a remainder.
1,3,9,27,163,489,1467,4401
Greatest Common Factor
We found the factors 847,4401 . The biggest common factor number is the GCF number.
So the greatest common factor 847,4401 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 403/847, 7316/4401?
Answer: LCM of Numerators as per given numbers 403/847, 7316/4401 is
LCM of Numerators i.e. for 403,7316 is 95108
GCF of denominators i.e. for 847,4401 is 1.
Thus, LCM of Fractions is 95108.Finally, LCM of Fractions for 403/847, 7316/4401 is 95108.