Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 925/375, 8675/805 quickly i.e. 64195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 925/375, 8675/805 is 64195.
LCM(925/375, 8675/805) = 64195
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 925/375,8675/805
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 925,8675
Least Common Multiple of Numerators i.e. LCM of 925,8675 is 320975.
GCF of Denominators means GCF of 375,805 as per the given fractions.
GCF of 375,805 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 925,8675
5 | 925, 8675 |
5 | 185, 1735 |
37, 347 |
∴ So the LCM of the given numbers is 5 x 5 x 37 x 347 = 320975
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 925,8675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,8675) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(925,8675) x common factors =25 x 1 = 25
LCM(925,8675) = ( 925 × 8675 ) / 25
LCM(925,8675) = 8024375 / 25
LCM(925,8675) = 320975
Lets's calculate GCF of 375,805
5 | 375, 805 |
75, 161 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320975/5
Therefore the LCM of Fractions 925/375,8675/805 is 64195
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 375,805 . The biggest common factor number is the GCF number.
So the greatest common factor 375,805 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 925/375, 8675/805?
Answer: LCM of Numerators as per given numbers 925/375, 8675/805 is
LCM of Numerators i.e. for 925,8675 is 320975
GCF of denominators i.e. for 375,805 is 5.
Thus, LCM of Fractions is 64195.Finally, LCM of Fractions for 925/375, 8675/805 is 64195.