Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9225/873, 3690/885 quickly i.e. 6150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9225/873, 3690/885 is 6150.
LCM(9225/873, 3690/885) = 6150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9225/873,3690/885
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 9225,3690
Least Common Multiple of Numerators i.e. LCM of 9225,3690 is 18450.
GCF of Denominators means GCF of 873,885 as per the given fractions.
GCF of 873,885 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9225,3690
3 | 9225, 3690 |
3 | 3075, 1230 |
5 | 1025, 410 |
41 | 205, 82 |
5, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 41 x 5 x 2 = 18450
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 9225,3690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9225,3690) = 1845
common factors(in case of two or more numbers have common factors) = 1
GCF(9225,3690) x common factors =1845 x 1 = 1845
LCM(9225,3690) = ( 9225 × 3690 ) / 1845
LCM(9225,3690) = 34040250 / 1845
LCM(9225,3690) = 18450
Lets's calculate GCF of 873,885
3 | 873, 885 |
291, 295 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18450/3
Therefore the LCM of Fractions 9225/873,3690/885 is 6150
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 873,885 . The biggest common factor number is the GCF number.
So the greatest common factor 873,885 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 9225/873, 3690/885?
Answer: LCM of Numerators as per given numbers 9225/873, 3690/885 is
LCM of Numerators i.e. for 9225,3690 is 18450
GCF of denominators i.e. for 873,885 is 3.
Thus, LCM of Fractions is 6150.Finally, LCM of Fractions for 9225/873, 3690/885 is 6150.