Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 510/80, 425/9683 quickly i.e. 2550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 510/80, 425/9683 is 2550.
LCM(510/80, 425/9683) = 2550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 510/80,425/9683
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 510,425
Least Common Multiple of Numerators i.e. LCM of 510,425 is 2550.
GCF of Denominators means GCF of 80,9683 as per the given fractions.
GCF of 80,9683 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 510,425
5 | 510, 425 |
17 | 102, 85 |
6, 5 |
∴ So the LCM of the given numbers is 5 x 17 x 6 x 5 = 2550
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 510,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,425) = 85
common factors(in case of two or more numbers have common factors) = 1
GCF(510,425) x common factors =85 x 1 = 85
LCM(510,425) = ( 510 × 425 ) / 85
LCM(510,425) = 216750 / 85
LCM(510,425) = 2550
Lets's calculate GCF of 80,9683
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2550/1
Therefore the LCM of Fractions 510/80,425/9683 is 2550
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 9683
List of positive integer factors of 9683 that divides 9683 without a remainder.
1,23,421,9683
Greatest Common Factor
We found the factors 80,9683 . The biggest common factor number is the GCF number.
So the greatest common factor 80,9683 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 510/80, 425/9683?
Answer: LCM of Numerators as per given numbers 510/80, 425/9683 is
LCM of Numerators i.e. for 510,425 is 2550
GCF of denominators i.e. for 80,9683 is 1.
Thus, LCM of Fractions is 2550.Finally, LCM of Fractions for 510/80, 425/9683 is 2550.