Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 885/93, 3173/867 quickly i.e. 936035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 885/93, 3173/867 is 936035.
LCM(885/93, 3173/867) = 936035
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 885/93,3173/867
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 885,3173
Least Common Multiple of Numerators i.e. LCM of 885,3173 is 2808105.
GCF of Denominators means GCF of 93,867 as per the given fractions.
GCF of 93,867 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 885,3173
Given numbers has no common factors except 1. So, there LCM is their product i.e 2808105
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 885,3173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(885,3173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(885,3173) x common factors =1 x 1 = 1
LCM(885,3173) = ( 885 × 3173 ) / 1
LCM(885,3173) = 2808105 / 1
LCM(885,3173) = 2808105
Lets's calculate GCF of 93,867
3 | 93, 867 |
31, 289 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2808105/3
Therefore the LCM of Fractions 885/93,3173/867 is 936035
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Greatest Common Factor
We found the factors 93,867 . The biggest common factor number is the GCF number.
So the greatest common factor 93,867 is 3.
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 885/93, 3173/867?
Answer: LCM of Numerators as per given numbers 885/93, 3173/867 is
LCM of Numerators i.e. for 885,3173 is 2808105
GCF of denominators i.e. for 93,867 is 3.
Thus, LCM of Fractions is 936035.Finally, LCM of Fractions for 885/93, 3173/867 is 936035.