Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/226, 25/724, 329/152 quickly i.e. 501725/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/226, 25/724, 329/152 is 501725/2.
LCM(61/226, 25/724, 329/152) = 501725/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/226,25/724,329/152
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 61,25,329
Least Common Multiple of Numerators i.e. LCM of 61,25,329 is 501725.
GCF of Denominators means GCF of 226,724,152 as per the given fractions.
GCF of 226,724,152 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,25,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 501725
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 61,25,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,25,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,25,329) x common factors =1 x 1 = 1
LCM(61,25,329) = ( 61 × 25 × 329 ) / 1
LCM(61,25,329) = 501725 / 1
LCM(61,25,329) = 501725
Lets's calculate GCF of 226,724,152
2 | 226, 724, 152 |
113, 362, 76 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 501725/2
Therefore the LCM of Fractions 61/226,25/724,329/152 is 501725/2
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 226,724,152 . The biggest common factor number is the GCF number.
So the greatest common factor 226,724,152 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 61/226, 25/724, 329/152?
Answer: LCM of Numerators as per given numbers 61/226, 25/724, 329/152 is
LCM of Numerators i.e. for 61,25,329 is 501725
GCF of denominators i.e. for 226,724,152 is 2.
Thus, LCM of Fractions is 501725/2.Finally, LCM of Fractions for 61/226, 25/724, 329/152 is 501725/2.