Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 685/798, 5863/7887 quickly i.e. 4016155/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 685/798, 5863/7887 is 4016155/3.
LCM(685/798, 5863/7887) = 4016155/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 685/798,5863/7887
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 685,5863
Least Common Multiple of Numerators i.e. LCM of 685,5863 is 4016155.
GCF of Denominators means GCF of 798,7887 as per the given fractions.
GCF of 798,7887 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 685,5863
Given numbers has no common factors except 1. So, there LCM is their product i.e 4016155
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 685,5863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,5863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,5863) x common factors =1 x 1 = 1
LCM(685,5863) = ( 685 × 5863 ) / 1
LCM(685,5863) = 4016155 / 1
LCM(685,5863) = 4016155
Lets's calculate GCF of 798,7887
3 | 798, 7887 |
266, 2629 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4016155/3
Therefore the LCM of Fractions 685/798,5863/7887 is 4016155/3
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 7887
List of positive integer factors of 7887 that divides 7887 without a remainder.
1,3,11,33,239,717,2629,7887
Greatest Common Factor
We found the factors 798,7887 . The biggest common factor number is the GCF number.
So the greatest common factor 798,7887 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 685/798, 5863/7887?
Answer: LCM of Numerators as per given numbers 685/798, 5863/7887 is
LCM of Numerators i.e. for 685,5863 is 4016155
GCF of denominators i.e. for 798,7887 is 3.
Thus, LCM of Fractions is 4016155/3.Finally, LCM of Fractions for 685/798, 5863/7887 is 4016155/3.