Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/995, 2017/5160 quickly i.e. 157326/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/995, 2017/5160 is 157326/5.
LCM(78/995, 2017/5160) = 157326/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/995,2017/5160
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 78,2017
Least Common Multiple of Numerators i.e. LCM of 78,2017 is 157326.
GCF of Denominators means GCF of 995,5160 as per the given fractions.
GCF of 995,5160 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,2017
Given numbers has no common factors except 1. So, there LCM is their product i.e 157326
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 78,2017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,2017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,2017) x common factors =1 x 1 = 1
LCM(78,2017) = ( 78 × 2017 ) / 1
LCM(78,2017) = 157326 / 1
LCM(78,2017) = 157326
Lets's calculate GCF of 995,5160
5 | 995, 5160 |
199, 1032 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157326/5
Therefore the LCM of Fractions 78/995,2017/5160 is 157326/5
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 5160
List of positive integer factors of 5160 that divides 5160 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Greatest Common Factor
We found the factors 995,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 995,5160 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 78/995, 2017/5160?
Answer: LCM of Numerators as per given numbers 78/995, 2017/5160 is
LCM of Numerators i.e. for 78,2017 is 157326
GCF of denominators i.e. for 995,5160 is 5.
Thus, LCM of Fractions is 157326/5.Finally, LCM of Fractions for 78/995, 2017/5160 is 157326/5.