Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/56, 41/58, 69/188 quickly i.e. 31119/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/56, 41/58, 69/188 is 31119/2.
LCM(33/56, 41/58, 69/188) = 31119/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/56,41/58,69/188
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 33,41,69
Least Common Multiple of Numerators i.e. LCM of 33,41,69 is 31119.
GCF of Denominators means GCF of 56,58,188 as per the given fractions.
GCF of 56,58,188 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,41,69
3 | 33, 41, 69 |
11, 41, 23 |
∴ So the LCM of the given numbers is 3 x 11 x 41 x 23 = 31119
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 33,41,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,41,69) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(33,41,69) x common factors =1 x 3 = 3
LCM(33,41,69) = ( 33 × 41 × 69 ) / 3
LCM(33,41,69) = 93357 / 3
LCM(33,41,69) = 31119
Lets's calculate GCF of 56,58,188
2 | 56, 58, 188 |
28, 29, 94 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31119/2
Therefore the LCM of Fractions 33/56,41/58,69/188 is 31119/2
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 56,58,188 . The biggest common factor number is the GCF number.
So the greatest common factor 56,58,188 is 2.
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 33/56, 41/58, 69/188?
Answer: LCM of Numerators as per given numbers 33/56, 41/58, 69/188 is
LCM of Numerators i.e. for 33,41,69 is 31119
GCF of denominators i.e. for 56,58,188 is 2.
Thus, LCM of Fractions is 31119/2.Finally, LCM of Fractions for 33/56, 41/58, 69/188 is 31119/2.