Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 622/682, 2390/144 quickly i.e. 371645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 622/682, 2390/144 is 371645.
LCM(622/682, 2390/144) = 371645
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 622/682,2390/144
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 622,2390
Least Common Multiple of Numerators i.e. LCM of 622,2390 is 743290.
GCF of Denominators means GCF of 682,144 as per the given fractions.
GCF of 682,144 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 622,2390
2 | 622, 2390 |
311, 1195 |
∴ So the LCM of the given numbers is 2 x 311 x 1195 = 743290
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 622,2390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,2390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,2390) x common factors =2 x 1 = 2
LCM(622,2390) = ( 622 × 2390 ) / 2
LCM(622,2390) = 1486580 / 2
LCM(622,2390) = 743290
Lets's calculate GCF of 682,144
2 | 682, 144 |
341, 72 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743290/2
Therefore the LCM of Fractions 622/682,2390/144 is 371645
Factors of 682
List of positive integer factors of 682 that divides 682 without a remainder.
1,2,11,22,31,62,341,682
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 682,144 . The biggest common factor number is the GCF number.
So the greatest common factor 682,144 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 622/682, 2390/144?
Answer: LCM of Numerators as per given numbers 622/682, 2390/144 is
LCM of Numerators i.e. for 622,2390 is 743290
GCF of denominators i.e. for 682,144 is 2.
Thus, LCM of Fractions is 371645.Finally, LCM of Fractions for 622/682, 2390/144 is 371645.