Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 441/986, 3439/2420 quickly i.e. 1516599/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 441/986, 3439/2420 is 1516599/2.
LCM(441/986, 3439/2420) = 1516599/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 441/986,3439/2420
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 441,3439
Least Common Multiple of Numerators i.e. LCM of 441,3439 is 1516599.
GCF of Denominators means GCF of 986,2420 as per the given fractions.
GCF of 986,2420 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 441,3439
Given numbers has no common factors except 1. So, there LCM is their product i.e 1516599
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 441,3439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,3439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,3439) x common factors =1 x 1 = 1
LCM(441,3439) = ( 441 × 3439 ) / 1
LCM(441,3439) = 1516599 / 1
LCM(441,3439) = 1516599
Lets's calculate GCF of 986,2420
2 | 986, 2420 |
493, 1210 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1516599/2
Therefore the LCM of Fractions 441/986,3439/2420 is 1516599/2
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 2420
List of positive integer factors of 2420 that divides 2420 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420
Greatest Common Factor
We found the factors 986,2420 . The biggest common factor number is the GCF number.
So the greatest common factor 986,2420 is 2.
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 441/986, 3439/2420?
Answer: LCM of Numerators as per given numbers 441/986, 3439/2420 is
LCM of Numerators i.e. for 441,3439 is 1516599
GCF of denominators i.e. for 986,2420 is 2.
Thus, LCM of Fractions is 1516599/2.Finally, LCM of Fractions for 441/986, 3439/2420 is 1516599/2.