Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 638/40, 420/9580 quickly i.e. 6699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 638/40, 420/9580 is 6699.
LCM(638/40, 420/9580) = 6699
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 638/40,420/9580
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 638,420
Least Common Multiple of Numerators i.e. LCM of 638,420 is 133980.
GCF of Denominators means GCF of 40,9580 as per the given fractions.
GCF of 40,9580 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 638,420
2 | 638, 420 |
319, 210 |
∴ So the LCM of the given numbers is 2 x 319 x 210 = 133980
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 638,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,420) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(638,420) x common factors =2 x 1 = 2
LCM(638,420) = ( 638 × 420 ) / 2
LCM(638,420) = 267960 / 2
LCM(638,420) = 133980
Lets's calculate GCF of 40,9580
2 | 40, 9580 |
2 | 20, 4790 |
5 | 10, 2395 |
2, 479 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 133980/20
Therefore the LCM of Fractions 638/40,420/9580 is 6699
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 9580
List of positive integer factors of 9580 that divides 9580 without a remainder.
1,2,4,5,10,20,479,958,1916,2395,4790,9580
Greatest Common Factor
We found the factors 40,9580 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9580 is 20.
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 638/40, 420/9580?
Answer: LCM of Numerators as per given numbers 638/40, 420/9580 is
LCM of Numerators i.e. for 638,420 is 133980
GCF of denominators i.e. for 40,9580 is 20.
Thus, LCM of Fractions is 6699.Finally, LCM of Fractions for 638/40, 420/9580 is 6699.