Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/24, 384/22, 758/658 quickly i.e. 2110272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/24, 384/22, 758/658 is 2110272.
LCM(29/24, 384/22, 758/658) = 2110272
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/24,384/22,758/658
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 29,384,758
Least Common Multiple of Numerators i.e. LCM of 29,384,758 is 4220544.
GCF of Denominators means GCF of 24,22,658 as per the given fractions.
GCF of 24,22,658 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,384,758
2 | 29, 384, 758 |
29, 192, 379 |
∴ So the LCM of the given numbers is 2 x 29 x 192 x 379 = 4220544
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 29,384,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,384,758) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(29,384,758) x common factors =1 x 2 = 2
LCM(29,384,758) = ( 29 × 384 × 758 ) / 2
LCM(29,384,758) = 8441088 / 2
LCM(29,384,758) = 4220544
Lets's calculate GCF of 24,22,658
2 | 24, 22, 658 |
12, 11, 329 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4220544/2
Therefore the LCM of Fractions 29/24,384/22,758/658 is 2110272
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 658
List of positive integer factors of 658 that divides 658 without a remainder.
1,2,7,14,47,94,329,658
Greatest Common Factor
We found the factors 24,22,658 . The biggest common factor number is the GCF number.
So the greatest common factor 24,22,658 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 29/24, 384/22, 758/658?
Answer: LCM of Numerators as per given numbers 29/24, 384/22, 758/658 is
LCM of Numerators i.e. for 29,384,758 is 4220544
GCF of denominators i.e. for 24,22,658 is 2.
Thus, LCM of Fractions is 2110272.Finally, LCM of Fractions for 29/24, 384/22, 758/658 is 2110272.