Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/47, 33/95, 94/38, 36/361 quickly i.e. 1098108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/47, 33/95, 94/38, 36/361 is 1098108.
LCM(59/47, 33/95, 94/38, 36/361) = 1098108
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/47,33/95,94/38,36/361
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 59,33,94,36
Least Common Multiple of Numerators i.e. LCM of 59,33,94,36 is 1098108.
GCF of Denominators means GCF of 47,95,38,361 as per the given fractions.
GCF of 47,95,38,361 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,33,94,36
2 | 59, 33, 94, 36 |
3 | 59, 33, 47, 18 |
59, 11, 47, 6 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 11 x 47 x 6 = 1098108
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 59,33,94,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,33,94,36) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(59,33,94,36) x common factors =1 x 6 = 6
LCM(59,33,94,36) = ( 59 × 33 × 94 × 36 ) / 6
LCM(59,33,94,36) = 6588648 / 6
LCM(59,33,94,36) = 1098108
Lets's calculate GCF of 47,95,38,361
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1098108/1
Therefore the LCM of Fractions 59/47,33/95,94/38,36/361 is 1098108
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1,19,361
Greatest Common Factor
We found the factors 47,95,38,361 . The biggest common factor number is the GCF number.
So the greatest common factor 47,95,38,361 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 59/47, 33/95, 94/38, 36/361?
Answer: LCM of Numerators as per given numbers 59/47, 33/95, 94/38, 36/361 is
LCM of Numerators i.e. for 59,33,94,36 is 1098108
GCF of denominators i.e. for 47,95,38,361 is 1.
Thus, LCM of Fractions is 1098108.Finally, LCM of Fractions for 59/47, 33/95, 94/38, 36/361 is 1098108.