Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7895/520, 2019/330 quickly i.e. 15940005/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7895/520, 2019/330 is 15940005/10.
LCM(7895/520, 2019/330) = 15940005/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7895/520,2019/330
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 7895,2019
Least Common Multiple of Numerators i.e. LCM of 7895,2019 is 15940005.
GCF of Denominators means GCF of 520,330 as per the given fractions.
GCF of 520,330 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7895,2019
Given numbers has no common factors except 1. So, there LCM is their product i.e 15940005
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 7895,2019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7895,2019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7895,2019) x common factors =1 x 1 = 1
LCM(7895,2019) = ( 7895 × 2019 ) / 1
LCM(7895,2019) = 15940005 / 1
LCM(7895,2019) = 15940005
Lets's calculate GCF of 520,330
2 | 520, 330 |
5 | 260, 165 |
52, 33 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15940005/10
Therefore the LCM of Fractions 7895/520,2019/330 is 15940005/10
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 520,330 . The biggest common factor number is the GCF number.
So the greatest common factor 520,330 is 10.
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 7895/520, 2019/330?
Answer: LCM of Numerators as per given numbers 7895/520, 2019/330 is
LCM of Numerators i.e. for 7895,2019 is 15940005
GCF of denominators i.e. for 520,330 is 10.
Thus, LCM of Fractions is 15940005/10.Finally, LCM of Fractions for 7895/520, 2019/330 is 15940005/10.