Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/66, 53/22, 73/55, 97/396 quickly i.e. 10883497/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/66, 53/22, 73/55, 97/396 is 10883497/11.
LCM(29/66, 53/22, 73/55, 97/396) = 10883497/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/66,53/22,73/55,97/396
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 29,53,73,97
Least Common Multiple of Numerators i.e. LCM of 29,53,73,97 is 10883497.
GCF of Denominators means GCF of 66,22,55,396 as per the given fractions.
GCF of 66,22,55,396 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,53,73,97
Given numbers has no common factors except 1. So, there LCM is their product i.e 10883497
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 29,53,73,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,53,73,97) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,53,73,97) x common factors =1 x 1 = 1
LCM(29,53,73,97) = ( 29 × 53 × 73 × 97 ) / 1
LCM(29,53,73,97) = 10883497 / 1
LCM(29,53,73,97) = 10883497
Lets's calculate GCF of 66,22,55,396
11 | 66, 22, 55, 396 |
6, 2, 5, 36 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10883497/11
Therefore the LCM of Fractions 29/66,53/22,73/55,97/396 is 10883497/11
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 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 66,22,55,396 . The biggest common factor number is the GCF number.
So the greatest common factor 66,22,55,396 is 11.
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 29/66, 53/22, 73/55, 97/396?
Answer: LCM of Numerators as per given numbers 29/66, 53/22, 73/55, 97/396 is
LCM of Numerators i.e. for 29,53,73,97 is 10883497
GCF of denominators i.e. for 66,22,55,396 is 11.
Thus, LCM of Fractions is 10883497/11.Finally, LCM of Fractions for 29/66, 53/22, 73/55, 97/396 is 10883497/11.