Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2390/195, 7864/5880 quickly i.e. 9397480/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2390/195, 7864/5880 is 9397480/15.
LCM(2390/195, 7864/5880) = 9397480/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2390/195,7864/5880
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 2390,7864
Least Common Multiple of Numerators i.e. LCM of 2390,7864 is 9397480.
GCF of Denominators means GCF of 195,5880 as per the given fractions.
GCF of 195,5880 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2390,7864
2 | 2390, 7864 |
1195, 3932 |
∴ So the LCM of the given numbers is 2 x 1195 x 3932 = 9397480
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 2390,7864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2390,7864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2390,7864) x common factors =2 x 1 = 2
LCM(2390,7864) = ( 2390 × 7864 ) / 2
LCM(2390,7864) = 18794960 / 2
LCM(2390,7864) = 9397480
Lets's calculate GCF of 195,5880
3 | 195, 5880 |
5 | 65, 1960 |
13, 392 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9397480/15
Therefore the LCM of Fractions 2390/195,7864/5880 is 9397480/15
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Factors of 5880
List of positive integer factors of 5880 that divides 5880 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880
Greatest Common Factor
We found the factors 195,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 195,5880 is 15.
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 2390/195, 7864/5880?
Answer: LCM of Numerators as per given numbers 2390/195, 7864/5880 is
LCM of Numerators i.e. for 2390,7864 is 9397480
GCF of denominators i.e. for 195,5880 is 15.
Thus, LCM of Fractions is 9397480/15.Finally, LCM of Fractions for 2390/195, 7864/5880 is 9397480/15.