Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 287/781, 231/322, 810/987 quickly i.e. 2557170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 287/781, 231/322, 810/987 is 2557170.
LCM(287/781, 231/322, 810/987) = 2557170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 287/781,231/322,810/987
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 287,231,810
Least Common Multiple of Numerators i.e. LCM of 287,231,810 is 2557170.
GCF of Denominators means GCF of 781,322,987 as per the given fractions.
GCF of 781,322,987 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 287,231,810
3 | 287, 231, 810 |
7 | 287, 77, 270 |
41, 11, 270 |
∴ So the LCM of the given numbers is 3 x 7 x 41 x 11 x 270 = 2557170
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 287,231,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,231,810) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(287,231,810) x common factors =1 x 21 = 21
LCM(287,231,810) = ( 287 × 231 × 810 ) / 21
LCM(287,231,810) = 53700570 / 21
LCM(287,231,810) = 2557170
Lets's calculate GCF of 781,322,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2557170/1
Therefore the LCM of Fractions 287/781,231/322,810/987 is 2557170
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 781,322,987 . The biggest common factor number is the GCF number.
So the greatest common factor 781,322,987 is 1.
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 287/781, 231/322, 810/987?
Answer: LCM of Numerators as per given numbers 287/781, 231/322, 810/987 is
LCM of Numerators i.e. for 287,231,810 is 2557170
GCF of denominators i.e. for 781,322,987 is 1.
Thus, LCM of Fractions is 2557170.Finally, LCM of Fractions for 287/781, 231/322, 810/987 is 2557170.