Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5285/111, 7266/303 quickly i.e. 1828610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5285/111, 7266/303 is 1828610.
LCM(5285/111, 7266/303) = 1828610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5285/111,7266/303
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 5285,7266
Least Common Multiple of Numerators i.e. LCM of 5285,7266 is 5485830.
GCF of Denominators means GCF of 111,303 as per the given fractions.
GCF of 111,303 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5285,7266
7 | 5285, 7266 |
755, 1038 |
∴ So the LCM of the given numbers is 7 x 755 x 1038 = 5485830
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 5285,7266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5285,7266) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(5285,7266) x common factors =7 x 1 = 7
LCM(5285,7266) = ( 5285 × 7266 ) / 7
LCM(5285,7266) = 38400810 / 7
LCM(5285,7266) = 5485830
Lets's calculate GCF of 111,303
3 | 111, 303 |
37, 101 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5485830/3
Therefore the LCM of Fractions 5285/111,7266/303 is 1828610
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors 111,303 . The biggest common factor number is the GCF number.
So the greatest common factor 111,303 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 5285/111, 7266/303?
Answer: LCM of Numerators as per given numbers 5285/111, 7266/303 is
LCM of Numerators i.e. for 5285,7266 is 5485830
GCF of denominators i.e. for 111,303 is 3.
Thus, LCM of Fractions is 1828610.Finally, LCM of Fractions for 5285/111, 7266/303 is 1828610.