Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/287, 6138/1889 quickly i.e. 178002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/287, 6138/1889 is 178002.
LCM(58/287, 6138/1889) = 178002
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/287,6138/1889
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 58,6138
Least Common Multiple of Numerators i.e. LCM of 58,6138 is 178002.
GCF of Denominators means GCF of 287,1889 as per the given fractions.
GCF of 287,1889 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,6138
2 | 58, 6138 |
29, 3069 |
∴ So the LCM of the given numbers is 2 x 29 x 3069 = 178002
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 58,6138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,6138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,6138) x common factors =2 x 1 = 2
LCM(58,6138) = ( 58 × 6138 ) / 2
LCM(58,6138) = 356004 / 2
LCM(58,6138) = 178002
Lets's calculate GCF of 287,1889
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178002/1
Therefore the LCM of Fractions 58/287,6138/1889 is 178002
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 1889
List of positive integer factors of 1889 that divides 1889 without a remainder.
1,1889
Greatest Common Factor
We found the factors 287,1889 . The biggest common factor number is the GCF number.
So the greatest common factor 287,1889 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 58/287, 6138/1889?
Answer: LCM of Numerators as per given numbers 58/287, 6138/1889 is
LCM of Numerators i.e. for 58,6138 is 178002
GCF of denominators i.e. for 287,1889 is 1.
Thus, LCM of Fractions is 178002.Finally, LCM of Fractions for 58/287, 6138/1889 is 178002.