Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/713, 45/260, 114/899 quickly i.e. 70110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/713, 45/260, 114/899 is 70110.
LCM(82/713, 45/260, 114/899) = 70110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/713,45/260,114/899
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 82,45,114
Least Common Multiple of Numerators i.e. LCM of 82,45,114 is 70110.
GCF of Denominators means GCF of 713,260,899 as per the given fractions.
GCF of 713,260,899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,45,114
2 | 82, 45, 114 |
3 | 41, 45, 57 |
41, 15, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 15 x 19 = 70110
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 82,45,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,45,114) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(82,45,114) x common factors =1 x 6 = 6
LCM(82,45,114) = ( 82 × 45 × 114 ) / 6
LCM(82,45,114) = 420660 / 6
LCM(82,45,114) = 70110
Lets's calculate GCF of 713,260,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70110/1
Therefore the LCM of Fractions 82/713,45/260,114/899 is 70110
Factors of 713
List of positive integer factors of 713 that divides 713 without a remainder.
1,23,31,713
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 713,260,899 . The biggest common factor number is the GCF number.
So the greatest common factor 713,260,899 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 82/713, 45/260, 114/899?
Answer: LCM of Numerators as per given numbers 82/713, 45/260, 114/899 is
LCM of Numerators i.e. for 82,45,114 is 70110
GCF of denominators i.e. for 713,260,899 is 1.
Thus, LCM of Fractions is 70110.Finally, LCM of Fractions for 82/713, 45/260, 114/899 is 70110.