Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/578, 292/800, 188/249 quickly i.e. 397996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/578, 292/800, 188/249 is 397996.
LCM(29/578, 292/800, 188/249) = 397996
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/578,292/800,188/249
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 29,292,188
Least Common Multiple of Numerators i.e. LCM of 29,292,188 is 397996.
GCF of Denominators means GCF of 578,800,249 as per the given fractions.
GCF of 578,800,249 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,292,188
2 | 29, 292, 188 |
2 | 29, 146, 94 |
29, 73, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 73 x 47 = 397996
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 29,292,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,292,188) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(29,292,188) x common factors =1 x 4 = 4
LCM(29,292,188) = ( 29 × 292 × 188 ) / 4
LCM(29,292,188) = 1591984 / 4
LCM(29,292,188) = 397996
Lets's calculate GCF of 578,800,249
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397996/1
Therefore the LCM of Fractions 29/578,292/800,188/249 is 397996
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Greatest Common Factor
We found the factors 578,800,249 . The biggest common factor number is the GCF number.
So the greatest common factor 578,800,249 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 29/578, 292/800, 188/249?
Answer: LCM of Numerators as per given numbers 29/578, 292/800, 188/249 is
LCM of Numerators i.e. for 29,292,188 is 397996
GCF of denominators i.e. for 578,800,249 is 1.
Thus, LCM of Fractions is 397996.Finally, LCM of Fractions for 29/578, 292/800, 188/249 is 397996.