Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 602/80, 812/9607 quickly i.e. 34916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 602/80, 812/9607 is 34916.
LCM(602/80, 812/9607) = 34916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 602/80,812/9607
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 602,812
Least Common Multiple of Numerators i.e. LCM of 602,812 is 34916.
GCF of Denominators means GCF of 80,9607 as per the given fractions.
GCF of 80,9607 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 602,812
2 | 602, 812 |
7 | 301, 406 |
43, 58 |
∴ So the LCM of the given numbers is 2 x 7 x 43 x 58 = 34916
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 602,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,812) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(602,812) x common factors =14 x 1 = 14
LCM(602,812) = ( 602 × 812 ) / 14
LCM(602,812) = 488824 / 14
LCM(602,812) = 34916
Lets's calculate GCF of 80,9607
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34916/1
Therefore the LCM of Fractions 602/80,812/9607 is 34916
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 9607
List of positive integer factors of 9607 that divides 9607 without a remainder.
1,13,739,9607
Greatest Common Factor
We found the factors 80,9607 . The biggest common factor number is the GCF number.
So the greatest common factor 80,9607 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 602/80, 812/9607?
Answer: LCM of Numerators as per given numbers 602/80, 812/9607 is
LCM of Numerators i.e. for 602,812 is 34916
GCF of denominators i.e. for 80,9607 is 1.
Thus, LCM of Fractions is 34916.Finally, LCM of Fractions for 602/80, 812/9607 is 34916.