Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 141/580, 7325/294 quickly i.e. 1032825/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 141/580, 7325/294 is 1032825/2.
LCM(141/580, 7325/294) = 1032825/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 141/580,7325/294
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 141,7325
Least Common Multiple of Numerators i.e. LCM of 141,7325 is 1032825.
GCF of Denominators means GCF of 580,294 as per the given fractions.
GCF of 580,294 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 141,7325
Given numbers has no common factors except 1. So, there LCM is their product i.e 1032825
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 141,7325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,7325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(141,7325) x common factors =1 x 1 = 1
LCM(141,7325) = ( 141 × 7325 ) / 1
LCM(141,7325) = 1032825 / 1
LCM(141,7325) = 1032825
Lets's calculate GCF of 580,294
2 | 580, 294 |
290, 147 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1032825/2
Therefore the LCM of Fractions 141/580,7325/294 is 1032825/2
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
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 580,294 . The biggest common factor number is the GCF number.
So the greatest common factor 580,294 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 141/580, 7325/294?
Answer: LCM of Numerators as per given numbers 141/580, 7325/294 is
LCM of Numerators i.e. for 141,7325 is 1032825
GCF of denominators i.e. for 580,294 is 2.
Thus, LCM of Fractions is 1032825/2.Finally, LCM of Fractions for 141/580, 7325/294 is 1032825/2.