Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 405/602, 6638/989 quickly i.e. 2688390/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 405/602, 6638/989 is 2688390/43.
LCM(405/602, 6638/989) = 2688390/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 405/602,6638/989
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 405,6638
Least Common Multiple of Numerators i.e. LCM of 405,6638 is 2688390.
GCF of Denominators means GCF of 602,989 as per the given fractions.
GCF of 602,989 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 405,6638
Given numbers has no common factors except 1. So, there LCM is their product i.e 2688390
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 405,6638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,6638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,6638) x common factors =1 x 1 = 1
LCM(405,6638) = ( 405 × 6638 ) / 1
LCM(405,6638) = 2688390 / 1
LCM(405,6638) = 2688390
Lets's calculate GCF of 602,989
43 | 602, 989 |
14, 23 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2688390/43
Therefore the LCM of Fractions 405/602,6638/989 is 2688390/43
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 602,989 . The biggest common factor number is the GCF number.
So the greatest common factor 602,989 is 43.
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 405/602, 6638/989?
Answer: LCM of Numerators as per given numbers 405/602, 6638/989 is
LCM of Numerators i.e. for 405,6638 is 2688390
GCF of denominators i.e. for 602,989 is 43.
Thus, LCM of Fractions is 2688390/43.Finally, LCM of Fractions for 405/602, 6638/989 is 2688390/43.