Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 122/20, 479/2220 quickly i.e. 58438/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 122/20, 479/2220 is 58438/20.
LCM(122/20, 479/2220) = 58438/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 122/20,479/2220
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 122,479
Least Common Multiple of Numerators i.e. LCM of 122,479 is 58438.
GCF of Denominators means GCF of 20,2220 as per the given fractions.
GCF of 20,2220 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 122,479
Given numbers has no common factors except 1. So, there LCM is their product i.e 58438
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 122,479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,479) x common factors =1 x 1 = 1
LCM(122,479) = ( 122 × 479 ) / 1
LCM(122,479) = 58438 / 1
LCM(122,479) = 58438
Lets's calculate GCF of 20,2220
2 | 20, 2220 |
2 | 10, 1110 |
5 | 5, 555 |
1, 111 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58438/20
Therefore the LCM of Fractions 122/20,479/2220 is 58438/20
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 2220
List of positive integer factors of 2220 that divides 2220 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220
Greatest Common Factor
We found the factors 20,2220 . The biggest common factor number is the GCF number.
So the greatest common factor 20,2220 is 20.
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 122/20, 479/2220?
Answer: LCM of Numerators as per given numbers 122/20, 479/2220 is
LCM of Numerators i.e. for 122,479 is 58438
GCF of denominators i.e. for 20,2220 is 20.
Thus, LCM of Fractions is 58438/20.Finally, LCM of Fractions for 122/20, 479/2220 is 58438/20.