Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 636/26, 353/38, 365/418 quickly i.e. 40972710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 636/26, 353/38, 365/418 is 40972710.
LCM(636/26, 353/38, 365/418) = 40972710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 636/26,353/38,365/418
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 636,353,365
Least Common Multiple of Numerators i.e. LCM of 636,353,365 is 81945420.
GCF of Denominators means GCF of 26,38,418 as per the given fractions.
GCF of 26,38,418 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 636,353,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 81945420
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 636,353,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,353,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(636,353,365) x common factors =1 x 1 = 1
LCM(636,353,365) = ( 636 × 353 × 365 ) / 1
LCM(636,353,365) = 81945420 / 1
LCM(636,353,365) = 81945420
Lets's calculate GCF of 26,38,418
2 | 26, 38, 418 |
13, 19, 209 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81945420/2
Therefore the LCM of Fractions 636/26,353/38,365/418 is 40972710
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 418
List of positive integer factors of 418 that divides 418 without a remainder.
1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 26,38,418 . The biggest common factor number is the GCF number.
So the greatest common factor 26,38,418 is 2.
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 636/26, 353/38, 365/418?
Answer: LCM of Numerators as per given numbers 636/26, 353/38, 365/418 is
LCM of Numerators i.e. for 636,353,365 is 81945420
GCF of denominators i.e. for 26,38,418 is 2.
Thus, LCM of Fractions is 40972710.Finally, LCM of Fractions for 636/26, 353/38, 365/418 is 40972710.