Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/766, 629/172, 285/808 quickly i.e. 537795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/766, 629/172, 285/808 is 537795.
LCM(18/766, 629/172, 285/808) = 537795
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/766,629/172,285/808
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 18,629,285
Least Common Multiple of Numerators i.e. LCM of 18,629,285 is 1075590.
GCF of Denominators means GCF of 766,172,808 as per the given fractions.
GCF of 766,172,808 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,629,285
3 | 18, 629, 285 |
6, 629, 95 |
∴ So the LCM of the given numbers is 3 x 6 x 629 x 95 = 1075590
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 18,629,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,629,285) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(18,629,285) x common factors =1 x 3 = 3
LCM(18,629,285) = ( 18 × 629 × 285 ) / 3
LCM(18,629,285) = 3226770 / 3
LCM(18,629,285) = 1075590
Lets's calculate GCF of 766,172,808
2 | 766, 172, 808 |
383, 86, 404 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1075590/2
Therefore the LCM of Fractions 18/766,629/172,285/808 is 537795
Factors of 766
List of positive integer factors of 766 that divides 766 without a remainder.
1,2,383,766
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Factors of 808
List of positive integer factors of 808 that divides 808 without a remainder.
1,2,4,8,101,202,404,808
Greatest Common Factor
We found the factors 766,172,808 . The biggest common factor number is the GCF number.
So the greatest common factor 766,172,808 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 18/766, 629/172, 285/808?
Answer: LCM of Numerators as per given numbers 18/766, 629/172, 285/808 is
LCM of Numerators i.e. for 18,629,285 is 1075590
GCF of denominators i.e. for 766,172,808 is 2.
Thus, LCM of Fractions is 537795.Finally, LCM of Fractions for 18/766, 629/172, 285/808 is 537795.