Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/604, 25/298, 555/870 quickly i.e. 113775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/604, 25/298, 555/870 is 113775.
LCM(82/604, 25/298, 555/870) = 113775
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/604,25/298,555/870
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 82,25,555
Least Common Multiple of Numerators i.e. LCM of 82,25,555 is 227550.
GCF of Denominators means GCF of 604,298,870 as per the given fractions.
GCF of 604,298,870 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,25,555
5 | 82, 25, 555 |
82, 5, 111 |
∴ So the LCM of the given numbers is 5 x 82 x 5 x 111 = 227550
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 82,25,555 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,25,555) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(82,25,555) x common factors =1 x 5 = 5
LCM(82,25,555) = ( 82 × 25 × 555 ) / 5
LCM(82,25,555) = 1137750 / 5
LCM(82,25,555) = 227550
Lets's calculate GCF of 604,298,870
2 | 604, 298, 870 |
302, 149, 435 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227550/2
Therefore the LCM of Fractions 82/604,25/298,555/870 is 113775
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 604,298,870 . The biggest common factor number is the GCF number.
So the greatest common factor 604,298,870 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 82/604, 25/298, 555/870?
Answer: LCM of Numerators as per given numbers 82/604, 25/298, 555/870 is
LCM of Numerators i.e. for 82,25,555 is 227550
GCF of denominators i.e. for 604,298,870 is 2.
Thus, LCM of Fractions is 113775.Finally, LCM of Fractions for 82/604, 25/298, 555/870 is 113775.