Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/41, 78/66, 58/55, 33/722 quickly i.e. 124410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/41, 78/66, 58/55, 33/722 is 124410.
LCM(65/41, 78/66, 58/55, 33/722) = 124410
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/41,78/66,58/55,33/722
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 65,78,58,33
Least Common Multiple of Numerators i.e. LCM of 65,78,58,33 is 124410.
GCF of Denominators means GCF of 41,66,55,722 as per the given fractions.
GCF of 41,66,55,722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,78,58,33
2 | 65, 78, 58, 33 |
3 | 65, 39, 29, 33 |
13 | 65, 13, 29, 11 |
5, 1, 29, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 5 x 1 x 29 x 11 = 124410
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 65,78,58,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,78,58,33) = 1
common factors(in case of two or more numbers have common factors) = 78
GCF(65,78,58,33) x common factors =1 x 78 = 78
LCM(65,78,58,33) = ( 65 × 78 × 58 × 33 ) / 78
LCM(65,78,58,33) = 9703980 / 78
LCM(65,78,58,33) = 124410
Lets's calculate GCF of 41,66,55,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124410/1
Therefore the LCM of Fractions 65/41,78/66,58/55,33/722 is 124410
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 41,66,55,722 . The biggest common factor number is the GCF number.
So the greatest common factor 41,66,55,722 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 65/41, 78/66, 58/55, 33/722?
Answer: LCM of Numerators as per given numbers 65/41, 78/66, 58/55, 33/722 is
LCM of Numerators i.e. for 65,78,58,33 is 124410
GCF of denominators i.e. for 41,66,55,722 is 1.
Thus, LCM of Fractions is 124410.Finally, LCM of Fractions for 65/41, 78/66, 58/55, 33/722 is 124410.