Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/629, 382/806, 643/933 quickly i.e. 7614406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/629, 382/806, 643/933 is 7614406.
LCM(31/629, 382/806, 643/933) = 7614406
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/629,382/806,643/933
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 31,382,643
Least Common Multiple of Numerators i.e. LCM of 31,382,643 is 7614406.
GCF of Denominators means GCF of 629,806,933 as per the given fractions.
GCF of 629,806,933 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,382,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 7614406
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 31,382,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,382,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,382,643) x common factors =1 x 1 = 1
LCM(31,382,643) = ( 31 × 382 × 643 ) / 1
LCM(31,382,643) = 7614406 / 1
LCM(31,382,643) = 7614406
Lets's calculate GCF of 629,806,933
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7614406/1
Therefore the LCM of Fractions 31/629,382/806,643/933 is 7614406
Factors of 629
List of positive integer factors of 629 that divides 629 without a remainder.
1,17,37,629
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Greatest Common Factor
We found the factors 629,806,933 . The biggest common factor number is the GCF number.
So the greatest common factor 629,806,933 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 31/629, 382/806, 643/933?
Answer: LCM of Numerators as per given numbers 31/629, 382/806, 643/933 is
LCM of Numerators i.e. for 31,382,643 is 7614406
GCF of denominators i.e. for 629,806,933 is 1.
Thus, LCM of Fractions is 7614406.Finally, LCM of Fractions for 31/629, 382/806, 643/933 is 7614406.