Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 306/808, 1649/983 quickly i.e. 29682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 306/808, 1649/983 is 29682.
LCM(306/808, 1649/983) = 29682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 306/808,1649/983
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 306,1649
Least Common Multiple of Numerators i.e. LCM of 306,1649 is 29682.
GCF of Denominators means GCF of 808,983 as per the given fractions.
GCF of 808,983 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 306,1649
17 | 306, 1649 |
18, 97 |
∴ So the LCM of the given numbers is 17 x 18 x 97 = 29682
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 306,1649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,1649) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(306,1649) x common factors =17 x 1 = 17
LCM(306,1649) = ( 306 × 1649 ) / 17
LCM(306,1649) = 504594 / 17
LCM(306,1649) = 29682
Lets's calculate GCF of 808,983
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29682/1
Therefore the LCM of Fractions 306/808,1649/983 is 29682
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 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Greatest Common Factor
We found the factors 808,983 . The biggest common factor number is the GCF number.
So the greatest common factor 808,983 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 306/808, 1649/983?
Answer: LCM of Numerators as per given numbers 306/808, 1649/983 is
LCM of Numerators i.e. for 306,1649 is 29682
GCF of denominators i.e. for 808,983 is 1.
Thus, LCM of Fractions is 29682.Finally, LCM of Fractions for 306/808, 1649/983 is 29682.