Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6834/808, 7789/883 quickly i.e. 53230026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6834/808, 7789/883 is 53230026.
LCM(6834/808, 7789/883) = 53230026
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6834/808,7789/883
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 6834,7789
Least Common Multiple of Numerators i.e. LCM of 6834,7789 is 53230026.
GCF of Denominators means GCF of 808,883 as per the given fractions.
GCF of 808,883 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6834,7789
Given numbers has no common factors except 1. So, there LCM is their product i.e 53230026
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 6834,7789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6834,7789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6834,7789) x common factors =1 x 1 = 1
LCM(6834,7789) = ( 6834 × 7789 ) / 1
LCM(6834,7789) = 53230026 / 1
LCM(6834,7789) = 53230026
Lets's calculate GCF of 808,883
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53230026/1
Therefore the LCM of Fractions 6834/808,7789/883 is 53230026
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Greatest Common Factor
We found the factors 808,883 . The biggest common factor number is the GCF number.
So the greatest common factor 808,883 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 6834/808, 7789/883?
Answer: LCM of Numerators as per given numbers 6834/808, 7789/883 is
LCM of Numerators i.e. for 6834,7789 is 53230026
GCF of denominators i.e. for 808,883 is 1.
Thus, LCM of Fractions is 53230026.Finally, LCM of Fractions for 6834/808, 7789/883 is 53230026.