Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/863, 855/788, 860/434 quickly i.e. 147060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/863, 855/788, 860/434 is 147060.
LCM(38/863, 855/788, 860/434) = 147060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/863,855/788,860/434
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 38,855,860
Least Common Multiple of Numerators i.e. LCM of 38,855,860 is 147060.
GCF of Denominators means GCF of 863,788,434 as per the given fractions.
GCF of 863,788,434 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,855,860
2 | 38, 855, 860 |
5 | 19, 855, 430 |
19 | 19, 171, 86 |
1, 9, 86 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 1 x 9 x 86 = 147060
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 38,855,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,855,860) = 1
common factors(in case of two or more numbers have common factors) = 190
GCF(38,855,860) x common factors =1 x 190 = 190
LCM(38,855,860) = ( 38 × 855 × 860 ) / 190
LCM(38,855,860) = 27941400 / 190
LCM(38,855,860) = 147060
Lets's calculate GCF of 863,788,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147060/1
Therefore the LCM of Fractions 38/863,855/788,860/434 is 147060
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 788
List of positive integer factors of 788 that divides 788 without a remainder.
1,2,4,197,394,788
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 863,788,434 . The biggest common factor number is the GCF number.
So the greatest common factor 863,788,434 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 38/863, 855/788, 860/434?
Answer: LCM of Numerators as per given numbers 38/863, 855/788, 860/434 is
LCM of Numerators i.e. for 38,855,860 is 147060
GCF of denominators i.e. for 863,788,434 is 1.
Thus, LCM of Fractions is 147060.Finally, LCM of Fractions for 38/863, 855/788, 860/434 is 147060.