Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 594/258, 9999/637 quickly i.e. 59994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 594/258, 9999/637 is 59994.
LCM(594/258, 9999/637) = 59994
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 594/258,9999/637
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 594,9999
Least Common Multiple of Numerators i.e. LCM of 594,9999 is 59994.
GCF of Denominators means GCF of 258,637 as per the given fractions.
GCF of 258,637 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 594,9999
3 | 594, 9999 |
3 | 198, 3333 |
11 | 66, 1111 |
6, 101 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 6 x 101 = 59994
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 594,9999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,9999) = 99
common factors(in case of two or more numbers have common factors) = 1
GCF(594,9999) x common factors =99 x 1 = 99
LCM(594,9999) = ( 594 × 9999 ) / 99
LCM(594,9999) = 5939406 / 99
LCM(594,9999) = 59994
Lets's calculate GCF of 258,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59994/1
Therefore the LCM of Fractions 594/258,9999/637 is 59994
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Greatest Common Factor
We found the factors 258,637 . The biggest common factor number is the GCF number.
So the greatest common factor 258,637 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 594/258, 9999/637?
Answer: LCM of Numerators as per given numbers 594/258, 9999/637 is
LCM of Numerators i.e. for 594,9999 is 59994
GCF of denominators i.e. for 258,637 is 1.
Thus, LCM of Fractions is 59994.Finally, LCM of Fractions for 594/258, 9999/637 is 59994.