Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 807/608, 9698/2430 quickly i.e. 3913143 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 807/608, 9698/2430 is 3913143.
LCM(807/608, 9698/2430) = 3913143
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 807/608,9698/2430
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 807,9698
Least Common Multiple of Numerators i.e. LCM of 807,9698 is 7826286.
GCF of Denominators means GCF of 608,2430 as per the given fractions.
GCF of 608,2430 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 807,9698
Given numbers has no common factors except 1. So, there LCM is their product i.e 7826286
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 807,9698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,9698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,9698) x common factors =1 x 1 = 1
LCM(807,9698) = ( 807 × 9698 ) / 1
LCM(807,9698) = 7826286 / 1
LCM(807,9698) = 7826286
Lets's calculate GCF of 608,2430
2 | 608, 2430 |
304, 1215 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7826286/2
Therefore the LCM of Fractions 807/608,9698/2430 is 3913143
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 2430
List of positive integer factors of 2430 that divides 2430 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430
Greatest Common Factor
We found the factors 608,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 608,2430 is 2.
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 807/608, 9698/2430?
Answer: LCM of Numerators as per given numbers 807/608, 9698/2430 is
LCM of Numerators i.e. for 807,9698 is 7826286
GCF of denominators i.e. for 608,2430 is 2.
Thus, LCM of Fractions is 3913143.Finally, LCM of Fractions for 807/608, 9698/2430 is 3913143.