Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7638/616, 2811/6206 quickly i.e. 3578403 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7638/616, 2811/6206 is 3578403.
LCM(7638/616, 2811/6206) = 3578403
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7638/616,2811/6206
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 7638,2811
Least Common Multiple of Numerators i.e. LCM of 7638,2811 is 7156806.
GCF of Denominators means GCF of 616,6206 as per the given fractions.
GCF of 616,6206 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7638,2811
3 | 7638, 2811 |
2546, 937 |
∴ So the LCM of the given numbers is 3 x 2546 x 937 = 7156806
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 7638,2811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7638,2811) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7638,2811) x common factors =3 x 1 = 3
LCM(7638,2811) = ( 7638 × 2811 ) / 3
LCM(7638,2811) = 21470418 / 3
LCM(7638,2811) = 7156806
Lets's calculate GCF of 616,6206
2 | 616, 6206 |
308, 3103 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7156806/2
Therefore the LCM of Fractions 7638/616,2811/6206 is 3578403
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 6206
List of positive integer factors of 6206 that divides 6206 without a remainder.
1,2,29,58,107,214,3103,6206
Greatest Common Factor
We found the factors 616,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 616,6206 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 7638/616, 2811/6206?
Answer: LCM of Numerators as per given numbers 7638/616, 2811/6206 is
LCM of Numerators i.e. for 7638,2811 is 7156806
GCF of denominators i.e. for 616,6206 is 2.
Thus, LCM of Fractions is 3578403.Finally, LCM of Fractions for 7638/616, 2811/6206 is 3578403.