Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 442/322, 1646/581 quickly i.e. 363766/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 442/322, 1646/581 is 363766/7.
LCM(442/322, 1646/581) = 363766/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 442/322,1646/581
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 442,1646
Least Common Multiple of Numerators i.e. LCM of 442,1646 is 363766.
GCF of Denominators means GCF of 322,581 as per the given fractions.
GCF of 322,581 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 442,1646
2 | 442, 1646 |
221, 823 |
∴ So the LCM of the given numbers is 2 x 221 x 823 = 363766
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 442,1646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,1646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(442,1646) x common factors =2 x 1 = 2
LCM(442,1646) = ( 442 × 1646 ) / 2
LCM(442,1646) = 727532 / 2
LCM(442,1646) = 363766
Lets's calculate GCF of 322,581
7 | 322, 581 |
46, 83 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363766/7
Therefore the LCM of Fractions 442/322,1646/581 is 363766/7
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 322,581 . The biggest common factor number is the GCF number.
So the greatest common factor 322,581 is 7.
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 442/322, 1646/581?
Answer: LCM of Numerators as per given numbers 442/322, 1646/581 is
LCM of Numerators i.e. for 442,1646 is 363766
GCF of denominators i.e. for 322,581 is 7.
Thus, LCM of Fractions is 363766/7.Finally, LCM of Fractions for 442/322, 1646/581 is 363766/7.