Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 406/22, 485/2959 quickly i.e. 196910/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 406/22, 485/2959 is 196910/11.
LCM(406/22, 485/2959) = 196910/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 406/22,485/2959
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 406,485
Least Common Multiple of Numerators i.e. LCM of 406,485 is 196910.
GCF of Denominators means GCF of 22,2959 as per the given fractions.
GCF of 22,2959 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 406,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 196910
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 406,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,485) x common factors =1 x 1 = 1
LCM(406,485) = ( 406 × 485 ) / 1
LCM(406,485) = 196910 / 1
LCM(406,485) = 196910
Lets's calculate GCF of 22,2959
11 | 22, 2959 |
2, 269 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196910/11
Therefore the LCM of Fractions 406/22,485/2959 is 196910/11
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 2959
List of positive integer factors of 2959 that divides 2959 without a remainder.
1,11,269,2959
Greatest Common Factor
We found the factors 22,2959 . The biggest common factor number is the GCF number.
So the greatest common factor 22,2959 is 11.
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 406/22, 485/2959?
Answer: LCM of Numerators as per given numbers 406/22, 485/2959 is
LCM of Numerators i.e. for 406,485 is 196910
GCF of denominators i.e. for 22,2959 is 11.
Thus, LCM of Fractions is 196910/11.Finally, LCM of Fractions for 406/22, 485/2959 is 196910/11.