Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 824/660, 622/993 quickly i.e. 256264/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 824/660, 622/993 is 256264/3.
LCM(824/660, 622/993) = 256264/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 824/660,622/993
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 824,622
Least Common Multiple of Numerators i.e. LCM of 824,622 is 256264.
GCF of Denominators means GCF of 660,993 as per the given fractions.
GCF of 660,993 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 824,622
2 | 824, 622 |
412, 311 |
∴ So the LCM of the given numbers is 2 x 412 x 311 = 256264
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 824,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,622) x common factors =2 x 1 = 2
LCM(824,622) = ( 824 × 622 ) / 2
LCM(824,622) = 512528 / 2
LCM(824,622) = 256264
Lets's calculate GCF of 660,993
3 | 660, 993 |
220, 331 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256264/3
Therefore the LCM of Fractions 824/660,622/993 is 256264/3
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Greatest Common Factor
We found the factors 660,993 . The biggest common factor number is the GCF number.
So the greatest common factor 660,993 is 3.
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 824/660, 622/993?
Answer: LCM of Numerators as per given numbers 824/660, 622/993 is
LCM of Numerators i.e. for 824,622 is 256264
GCF of denominators i.e. for 660,993 is 3.
Thus, LCM of Fractions is 256264/3.Finally, LCM of Fractions for 824/660, 622/993 is 256264/3.