Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 622/246, 2040/6851 quickly i.e. 634440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 622/246, 2040/6851 is 634440.
LCM(622/246, 2040/6851) = 634440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 622/246,2040/6851
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 622,2040
Least Common Multiple of Numerators i.e. LCM of 622,2040 is 634440.
GCF of Denominators means GCF of 246,6851 as per the given fractions.
GCF of 246,6851 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 622,2040
2 | 622, 2040 |
311, 1020 |
∴ So the LCM of the given numbers is 2 x 311 x 1020 = 634440
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 622,2040 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,2040) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(622,2040) x common factors =2 x 1 = 2
LCM(622,2040) = ( 622 × 2040 ) / 2
LCM(622,2040) = 1268880 / 2
LCM(622,2040) = 634440
Lets's calculate GCF of 246,6851
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 634440/1
Therefore the LCM of Fractions 622/246,2040/6851 is 634440
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 6851
List of positive integer factors of 6851 that divides 6851 without a remainder.
1,13,17,31,221,403,527,6851
Greatest Common Factor
We found the factors 246,6851 . The biggest common factor number is the GCF number.
So the greatest common factor 246,6851 is 1.
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 622/246, 2040/6851?
Answer: LCM of Numerators as per given numbers 622/246, 2040/6851 is
LCM of Numerators i.e. for 622,2040 is 634440
GCF of denominators i.e. for 246,6851 is 1.
Thus, LCM of Fractions is 634440.Finally, LCM of Fractions for 622/246, 2040/6851 is 634440.