Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/39, 58/58, 63/96, 81/284 quickly i.e. 1808730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/39, 58/58, 63/96, 81/284 is 1808730.
LCM(55/39, 58/58, 63/96, 81/284) = 1808730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/39,58/58,63/96,81/284
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 55,58,63,81
Least Common Multiple of Numerators i.e. LCM of 55,58,63,81 is 1808730.
GCF of Denominators means GCF of 39,58,96,284 as per the given fractions.
GCF of 39,58,96,284 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,58,63,81
3 | 55, 58, 63, 81 |
3 | 55, 58, 21, 27 |
55, 58, 7, 9 |
∴ So the LCM of the given numbers is 3 x 3 x 55 x 58 x 7 x 9 = 1808730
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 55,58,63,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,58,63,81) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(55,58,63,81) x common factors =1 x 9 = 9
LCM(55,58,63,81) = ( 55 × 58 × 63 × 81 ) / 9
LCM(55,58,63,81) = 16278570 / 9
LCM(55,58,63,81) = 1808730
Lets's calculate GCF of 39,58,96,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1808730/1
Therefore the LCM of Fractions 55/39,58/58,63/96,81/284 is 1808730
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 39,58,96,284 . The biggest common factor number is the GCF number.
So the greatest common factor 39,58,96,284 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 55/39, 58/58, 63/96, 81/284?
Answer: LCM of Numerators as per given numbers 55/39, 58/58, 63/96, 81/284 is
LCM of Numerators i.e. for 55,58,63,81 is 1808730
GCF of denominators i.e. for 39,58,96,284 is 1.
Thus, LCM of Fractions is 1808730.Finally, LCM of Fractions for 55/39, 58/58, 63/96, 81/284 is 1808730.