Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4951/82, 6366/779 quickly i.e. 31518066/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4951/82, 6366/779 is 31518066/41.
LCM(4951/82, 6366/779) = 31518066/41
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4951/82,6366/779
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 4951,6366
Least Common Multiple of Numerators i.e. LCM of 4951,6366 is 31518066.
GCF of Denominators means GCF of 82,779 as per the given fractions.
GCF of 82,779 is 41 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4951,6366
Given numbers has no common factors except 1. So, there LCM is their product i.e 31518066
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 4951,6366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4951,6366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4951,6366) x common factors =1 x 1 = 1
LCM(4951,6366) = ( 4951 × 6366 ) / 1
LCM(4951,6366) = 31518066 / 1
LCM(4951,6366) = 31518066
Lets's calculate GCF of 82,779
41 | 82, 779 |
2, 19 |
∴ So the GCF of the given numbers is 41 = 41
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31518066/41
Therefore the LCM of Fractions 4951/82,6366/779 is 31518066/41
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Greatest Common Factor
We found the factors 82,779 . The biggest common factor number is the GCF number.
So the greatest common factor 82,779 is 41.
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 4951/82, 6366/779?
Answer: LCM of Numerators as per given numbers 4951/82, 6366/779 is
LCM of Numerators i.e. for 4951,6366 is 31518066
GCF of denominators i.e. for 82,779 is 41.
Thus, LCM of Fractions is 31518066/41.Finally, LCM of Fractions for 4951/82, 6366/779 is 31518066/41.