Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6177/699, 6086/806 quickly i.e. 37593222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6177/699, 6086/806 is 37593222.
LCM(6177/699, 6086/806) = 37593222
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6177/699,6086/806
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 6177,6086
Least Common Multiple of Numerators i.e. LCM of 6177,6086 is 37593222.
GCF of Denominators means GCF of 699,806 as per the given fractions.
GCF of 699,806 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6177,6086
Given numbers has no common factors except 1. So, there LCM is their product i.e 37593222
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 6177,6086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6177,6086) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6177,6086) x common factors =1 x 1 = 1
LCM(6177,6086) = ( 6177 × 6086 ) / 1
LCM(6177,6086) = 37593222 / 1
LCM(6177,6086) = 37593222
Lets's calculate GCF of 699,806
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37593222/1
Therefore the LCM of Fractions 6177/699,6086/806 is 37593222
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 699,806 . The biggest common factor number is the GCF number.
So the greatest common factor 699,806 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 6177/699, 6086/806?
Answer: LCM of Numerators as per given numbers 6177/699, 6086/806 is
LCM of Numerators i.e. for 6177,6086 is 37593222
GCF of denominators i.e. for 699,806 is 1.
Thus, LCM of Fractions is 37593222.Finally, LCM of Fractions for 6177/699, 6086/806 is 37593222.