Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9765/206, 5260/4813 quickly i.e. 10272780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9765/206, 5260/4813 is 10272780.
LCM(9765/206, 5260/4813) = 10272780
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9765/206,5260/4813
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 9765,5260
Least Common Multiple of Numerators i.e. LCM of 9765,5260 is 10272780.
GCF of Denominators means GCF of 206,4813 as per the given fractions.
GCF of 206,4813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9765,5260
5 | 9765, 5260 |
1953, 1052 |
∴ So the LCM of the given numbers is 5 x 1953 x 1052 = 10272780
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 9765,5260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9765,5260) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(9765,5260) x common factors =5 x 1 = 5
LCM(9765,5260) = ( 9765 × 5260 ) / 5
LCM(9765,5260) = 51363900 / 5
LCM(9765,5260) = 10272780
Lets's calculate GCF of 206,4813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10272780/1
Therefore the LCM of Fractions 9765/206,5260/4813 is 10272780
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Factors of 4813
List of positive integer factors of 4813 that divides 4813 without a remainder.
1,4813
Greatest Common Factor
We found the factors 206,4813 . The biggest common factor number is the GCF number.
So the greatest common factor 206,4813 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 9765/206, 5260/4813?
Answer: LCM of Numerators as per given numbers 9765/206, 5260/4813 is
LCM of Numerators i.e. for 9765,5260 is 10272780
GCF of denominators i.e. for 206,4813 is 1.
Thus, LCM of Fractions is 10272780.Finally, LCM of Fractions for 9765/206, 5260/4813 is 10272780.