Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 788/16, 518/8228 quickly i.e. 51023 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 788/16, 518/8228 is 51023.
LCM(788/16, 518/8228) = 51023
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 788/16,518/8228
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 788,518
Least Common Multiple of Numerators i.e. LCM of 788,518 is 204092.
GCF of Denominators means GCF of 16,8228 as per the given fractions.
GCF of 16,8228 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 788,518
2 | 788, 518 |
394, 259 |
∴ So the LCM of the given numbers is 2 x 394 x 259 = 204092
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 788,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,518) x common factors =2 x 1 = 2
LCM(788,518) = ( 788 × 518 ) / 2
LCM(788,518) = 408184 / 2
LCM(788,518) = 204092
Lets's calculate GCF of 16,8228
2 | 16, 8228 |
2 | 8, 4114 |
4, 2057 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204092/4
Therefore the LCM of Fractions 788/16,518/8228 is 51023
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 8228
List of positive integer factors of 8228 that divides 8228 without a remainder.
1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Greatest Common Factor
We found the factors 16,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 16,8228 is 4.
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 788/16, 518/8228?
Answer: LCM of Numerators as per given numbers 788/16, 518/8228 is
LCM of Numerators i.e. for 788,518 is 204092
GCF of denominators i.e. for 16,8228 is 4.
Thus, LCM of Fractions is 51023.Finally, LCM of Fractions for 788/16, 518/8228 is 51023.