Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7876/875, 8215/195 quickly i.e. 12940268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7876/875, 8215/195 is 12940268.
LCM(7876/875, 8215/195) = 12940268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7876/875,8215/195
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 7876,8215
Least Common Multiple of Numerators i.e. LCM of 7876,8215 is 64701340.
GCF of Denominators means GCF of 875,195 as per the given fractions.
GCF of 875,195 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7876,8215
Given numbers has no common factors except 1. So, there LCM is their product i.e 64701340
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 7876,8215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7876,8215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7876,8215) x common factors =1 x 1 = 1
LCM(7876,8215) = ( 7876 × 8215 ) / 1
LCM(7876,8215) = 64701340 / 1
LCM(7876,8215) = 64701340
Lets's calculate GCF of 875,195
5 | 875, 195 |
175, 39 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64701340/5
Therefore the LCM of Fractions 7876/875,8215/195 is 12940268
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 875,195 . The biggest common factor number is the GCF number.
So the greatest common factor 875,195 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 7876/875, 8215/195?
Answer: LCM of Numerators as per given numbers 7876/875, 8215/195 is
LCM of Numerators i.e. for 7876,8215 is 64701340
GCF of denominators i.e. for 875,195 is 5.
Thus, LCM of Fractions is 12940268.Finally, LCM of Fractions for 7876/875, 8215/195 is 12940268.