Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/490, 13/460 quickly i.e. 286/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/490, 13/460 is 286/10.
LCM(22/490, 13/460) = 286/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/490,13/460
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 22,13
Least Common Multiple of Numerators i.e. LCM of 22,13 is 286.
GCF of Denominators means GCF of 490,460 as per the given fractions.
GCF of 490,460 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,13
Given numbers has no common factors except 1. So, there LCM is their product i.e 286
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 22,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,13) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,13) x common factors =1 x 1 = 1
LCM(22,13) = ( 22 × 13 ) / 1
LCM(22,13) = 286 / 1
LCM(22,13) = 286
Lets's calculate GCF of 490,460
2 | 490, 460 |
5 | 245, 230 |
49, 46 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286/10
Therefore the LCM of Fractions 22/490,13/460 is 286/10
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 490,460 . The biggest common factor number is the GCF number.
So the greatest common factor 490,460 is 10.
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 22/490, 13/460?
Answer: LCM of Numerators as per given numbers 22/490, 13/460 is
LCM of Numerators i.e. for 22,13 is 286
GCF of denominators i.e. for 490,460 is 10.
Thus, LCM of Fractions is 286/10.Finally, LCM of Fractions for 22/490, 13/460 is 286/10.