Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/589, 9887/5548 quickly i.e. 49435 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/589, 9887/5548 is 49435.
LCM(95/589, 9887/5548) = 49435
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/589,9887/5548
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 95,9887
Least Common Multiple of Numerators i.e. LCM of 95,9887 is 939265.
GCF of Denominators means GCF of 589,5548 as per the given fractions.
GCF of 589,5548 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,9887
Given numbers has no common factors except 1. So, there LCM is their product i.e 939265
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 95,9887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,9887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,9887) x common factors =1 x 1 = 1
LCM(95,9887) = ( 95 × 9887 ) / 1
LCM(95,9887) = 939265 / 1
LCM(95,9887) = 939265
Lets's calculate GCF of 589,5548
19 | 589, 5548 |
31, 292 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 939265/19
Therefore the LCM of Fractions 95/589,9887/5548 is 49435
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 5548
List of positive integer factors of 5548 that divides 5548 without a remainder.
1,2,4,19,38,73,76,146,292,1387,2774,5548
Greatest Common Factor
We found the factors 589,5548 . The biggest common factor number is the GCF number.
So the greatest common factor 589,5548 is 19.
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 95/589, 9887/5548?
Answer: LCM of Numerators as per given numbers 95/589, 9887/5548 is
LCM of Numerators i.e. for 95,9887 is 939265
GCF of denominators i.e. for 589,5548 is 19.
Thus, LCM of Fractions is 49435.Finally, LCM of Fractions for 95/589, 9887/5548 is 49435.