Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 113/30, 490/87, 216/260 quickly i.e. 5979960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 113/30, 490/87, 216/260 is 5979960.
LCM(113/30, 490/87, 216/260) = 5979960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 113/30,490/87,216/260
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 113,490,216
Least Common Multiple of Numerators i.e. LCM of 113,490,216 is 5979960.
GCF of Denominators means GCF of 30,87,260 as per the given fractions.
GCF of 30,87,260 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 113,490,216
2 | 113, 490, 216 |
113, 245, 108 |
∴ So the LCM of the given numbers is 2 x 113 x 245 x 108 = 5979960
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 113,490,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,490,216) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(113,490,216) x common factors =1 x 2 = 2
LCM(113,490,216) = ( 113 × 490 × 216 ) / 2
LCM(113,490,216) = 11959920 / 2
LCM(113,490,216) = 5979960
Lets's calculate GCF of 30,87,260
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5979960/1
Therefore the LCM of Fractions 113/30,490/87,216/260 is 5979960
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
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
Greatest Common Factor
We found the factors 30,87,260 . The biggest common factor number is the GCF number.
So the greatest common factor 30,87,260 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 113/30, 490/87, 216/260?
Answer: LCM of Numerators as per given numbers 113/30, 490/87, 216/260 is
LCM of Numerators i.e. for 113,490,216 is 5979960
GCF of denominators i.e. for 30,87,260 is 1.
Thus, LCM of Fractions is 5979960.Finally, LCM of Fractions for 113/30, 490/87, 216/260 is 5979960.