Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/83, 38/51, 87/82, 24/294 quickly i.e. 13224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/83, 38/51, 87/82, 24/294 is 13224.
LCM(29/83, 38/51, 87/82, 24/294) = 13224
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/83,38/51,87/82,24/294
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 29,38,87,24
Least Common Multiple of Numerators i.e. LCM of 29,38,87,24 is 13224.
GCF of Denominators means GCF of 83,51,82,294 as per the given fractions.
GCF of 83,51,82,294 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,38,87,24
2 | 29, 38, 87, 24 |
3 | 29, 19, 87, 12 |
29 | 29, 19, 29, 4 |
1, 19, 1, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 1 x 19 x 1 x 4 = 13224
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 29,38,87,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,38,87,24) = 1
common factors(in case of two or more numbers have common factors) = 174
GCF(29,38,87,24) x common factors =1 x 174 = 174
LCM(29,38,87,24) = ( 29 × 38 × 87 × 24 ) / 174
LCM(29,38,87,24) = 2300976 / 174
LCM(29,38,87,24) = 13224
Lets's calculate GCF of 83,51,82,294
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13224/1
Therefore the LCM of Fractions 29/83,38/51,87/82,24/294 is 13224
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 83,51,82,294 . The biggest common factor number is the GCF number.
So the greatest common factor 83,51,82,294 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 29/83, 38/51, 87/82, 24/294?
Answer: LCM of Numerators as per given numbers 29/83, 38/51, 87/82, 24/294 is
LCM of Numerators i.e. for 29,38,87,24 is 13224
GCF of denominators i.e. for 83,51,82,294 is 1.
Thus, LCM of Fractions is 13224.Finally, LCM of Fractions for 29/83, 38/51, 87/82, 24/294 is 13224.