Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 490/20, 161/9835 quickly i.e. 2254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 490/20, 161/9835 is 2254.
LCM(490/20, 161/9835) = 2254
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 490/20,161/9835
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 490,161
Least Common Multiple of Numerators i.e. LCM of 490,161 is 11270.
GCF of Denominators means GCF of 20,9835 as per the given fractions.
GCF of 20,9835 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 490,161
7 | 490, 161 |
70, 23 |
∴ So the LCM of the given numbers is 7 x 70 x 23 = 11270
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 490,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,161) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(490,161) x common factors =7 x 1 = 7
LCM(490,161) = ( 490 × 161 ) / 7
LCM(490,161) = 78890 / 7
LCM(490,161) = 11270
Lets's calculate GCF of 20,9835
5 | 20, 9835 |
4, 1967 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11270/5
Therefore the LCM of Fractions 490/20,161/9835 is 2254
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 9835
List of positive integer factors of 9835 that divides 9835 without a remainder.
1,5,7,35,281,1405,1967,9835
Greatest Common Factor
We found the factors 20,9835 . The biggest common factor number is the GCF number.
So the greatest common factor 20,9835 is 5.
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 490/20, 161/9835?
Answer: LCM of Numerators as per given numbers 490/20, 161/9835 is
LCM of Numerators i.e. for 490,161 is 11270
GCF of denominators i.e. for 20,9835 is 5.
Thus, LCM of Fractions is 2254.Finally, LCM of Fractions for 490/20, 161/9835 is 2254.