Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4287/798, 5113/665 quickly i.e. 21919431/133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4287/798, 5113/665 is 21919431/133.
LCM(4287/798, 5113/665) = 21919431/133
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4287/798,5113/665
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 4287,5113
Least Common Multiple of Numerators i.e. LCM of 4287,5113 is 21919431.
GCF of Denominators means GCF of 798,665 as per the given fractions.
GCF of 798,665 is 133 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4287,5113
Given numbers has no common factors except 1. So, there LCM is their product i.e 21919431
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 4287,5113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4287,5113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4287,5113) x common factors =1 x 1 = 1
LCM(4287,5113) = ( 4287 × 5113 ) / 1
LCM(4287,5113) = 21919431 / 1
LCM(4287,5113) = 21919431
Lets's calculate GCF of 798,665
7 | 798, 665 |
19 | 114, 95 |
6, 5 |
∴ So the GCF of the given numbers is 7 x 19 = 133
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21919431/133
Therefore the LCM of Fractions 4287/798,5113/665 is 21919431/133
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 798,665 . The biggest common factor number is the GCF number.
So the greatest common factor 798,665 is 133.
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 4287/798, 5113/665?
Answer: LCM of Numerators as per given numbers 4287/798, 5113/665 is
LCM of Numerators i.e. for 4287,5113 is 21919431
GCF of denominators i.e. for 798,665 is 133.
Thus, LCM of Fractions is 21919431/133.Finally, LCM of Fractions for 4287/798, 5113/665 is 21919431/133.