Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 626/40, 398/6284 quickly i.e. 124574/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 626/40, 398/6284 is 124574/4.
LCM(626/40, 398/6284) = 124574/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 626/40,398/6284
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 626,398
Least Common Multiple of Numerators i.e. LCM of 626,398 is 124574.
GCF of Denominators means GCF of 40,6284 as per the given fractions.
GCF of 40,6284 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 626,398
2 | 626, 398 |
313, 199 |
∴ So the LCM of the given numbers is 2 x 313 x 199 = 124574
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 626,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,398) x common factors =2 x 1 = 2
LCM(626,398) = ( 626 × 398 ) / 2
LCM(626,398) = 249148 / 2
LCM(626,398) = 124574
Lets's calculate GCF of 40,6284
2 | 40, 6284 |
2 | 20, 3142 |
10, 1571 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124574/4
Therefore the LCM of Fractions 626/40,398/6284 is 124574/4
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 6284
List of positive integer factors of 6284 that divides 6284 without a remainder.
1,2,4,1571,3142,6284
Greatest Common Factor
We found the factors 40,6284 . The biggest common factor number is the GCF number.
So the greatest common factor 40,6284 is 4.
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 626/40, 398/6284?
Answer: LCM of Numerators as per given numbers 626/40, 398/6284 is
LCM of Numerators i.e. for 626,398 is 124574
GCF of denominators i.e. for 40,6284 is 4.
Thus, LCM of Fractions is 124574/4.Finally, LCM of Fractions for 626/40, 398/6284 is 124574/4.