Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/163, 7816/3084 quickly i.e. 304824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/163, 7816/3084 is 304824.
LCM(78/163, 7816/3084) = 304824
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/163,7816/3084
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 78,7816
Least Common Multiple of Numerators i.e. LCM of 78,7816 is 304824.
GCF of Denominators means GCF of 163,3084 as per the given fractions.
GCF of 163,3084 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,7816
2 | 78, 7816 |
39, 3908 |
∴ So the LCM of the given numbers is 2 x 39 x 3908 = 304824
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 78,7816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,7816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,7816) x common factors =2 x 1 = 2
LCM(78,7816) = ( 78 × 7816 ) / 2
LCM(78,7816) = 609648 / 2
LCM(78,7816) = 304824
Lets's calculate GCF of 163,3084
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304824/1
Therefore the LCM of Fractions 78/163,7816/3084 is 304824
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Factors of 3084
List of positive integer factors of 3084 that divides 3084 without a remainder.
1,2,3,4,6,12,257,514,771,1028,1542,3084
Greatest Common Factor
We found the factors 163,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 163,3084 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 78/163, 7816/3084?
Answer: LCM of Numerators as per given numbers 78/163, 7816/3084 is
LCM of Numerators i.e. for 78,7816 is 304824
GCF of denominators i.e. for 163,3084 is 1.
Thus, LCM of Fractions is 304824.Finally, LCM of Fractions for 78/163, 7816/3084 is 304824.