Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/49, 28/69, 66/72, 27/290 quickly i.e. 241164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/49, 28/69, 66/72, 27/290 is 241164.
LCM(58/49, 28/69, 66/72, 27/290) = 241164
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/49,28/69,66/72,27/290
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 58,28,66,27
Least Common Multiple of Numerators i.e. LCM of 58,28,66,27 is 241164.
GCF of Denominators means GCF of 49,69,72,290 as per the given fractions.
GCF of 49,69,72,290 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,28,66,27
2 | 58, 28, 66, 27 |
3 | 29, 14, 33, 27 |
29, 14, 11, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 14 x 11 x 9 = 241164
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 58,28,66,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,28,66,27) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(58,28,66,27) x common factors =1 x 12 = 12
LCM(58,28,66,27) = ( 58 × 28 × 66 × 27 ) / 12
LCM(58,28,66,27) = 2893968 / 12
LCM(58,28,66,27) = 241164
Lets's calculate GCF of 49,69,72,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241164/1
Therefore the LCM of Fractions 58/49,28/69,66/72,27/290 is 241164
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 49,69,72,290 . The biggest common factor number is the GCF number.
So the greatest common factor 49,69,72,290 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 58/49, 28/69, 66/72, 27/290?
Answer: LCM of Numerators as per given numbers 58/49, 28/69, 66/72, 27/290 is
LCM of Numerators i.e. for 58,28,66,27 is 241164
GCF of denominators i.e. for 49,69,72,290 is 1.
Thus, LCM of Fractions is 241164.Finally, LCM of Fractions for 58/49, 28/69, 66/72, 27/290 is 241164.