Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9286/752, 5630/887 quickly i.e. 26140090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9286/752, 5630/887 is 26140090.
LCM(9286/752, 5630/887) = 26140090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9286/752,5630/887
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 9286,5630
Least Common Multiple of Numerators i.e. LCM of 9286,5630 is 26140090.
GCF of Denominators means GCF of 752,887 as per the given fractions.
GCF of 752,887 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9286,5630
2 | 9286, 5630 |
4643, 2815 |
∴ So the LCM of the given numbers is 2 x 4643 x 2815 = 26140090
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 9286,5630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9286,5630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9286,5630) x common factors =2 x 1 = 2
LCM(9286,5630) = ( 9286 × 5630 ) / 2
LCM(9286,5630) = 52280180 / 2
LCM(9286,5630) = 26140090
Lets's calculate GCF of 752,887
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26140090/1
Therefore the LCM of Fractions 9286/752,5630/887 is 26140090
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1,887
Greatest Common Factor
We found the factors 752,887 . The biggest common factor number is the GCF number.
So the greatest common factor 752,887 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 9286/752, 5630/887?
Answer: LCM of Numerators as per given numbers 9286/752, 5630/887 is
LCM of Numerators i.e. for 9286,5630 is 26140090
GCF of denominators i.e. for 752,887 is 1.
Thus, LCM of Fractions is 26140090.Finally, LCM of Fractions for 9286/752, 5630/887 is 26140090.