Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/466, 5542/5200 quickly i.e. 52649 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/466, 5542/5200 is 52649.
LCM(38/466, 5542/5200) = 52649
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/466,5542/5200
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 38,5542
Least Common Multiple of Numerators i.e. LCM of 38,5542 is 105298.
GCF of Denominators means GCF of 466,5200 as per the given fractions.
GCF of 466,5200 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,5542
2 | 38, 5542 |
19, 2771 |
∴ So the LCM of the given numbers is 2 x 19 x 2771 = 105298
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 38,5542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,5542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,5542) x common factors =2 x 1 = 2
LCM(38,5542) = ( 38 × 5542 ) / 2
LCM(38,5542) = 210596 / 2
LCM(38,5542) = 105298
Lets's calculate GCF of 466,5200
2 | 466, 5200 |
233, 2600 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105298/2
Therefore the LCM of Fractions 38/466,5542/5200 is 52649
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 5200
List of positive integer factors of 5200 that divides 5200 without a remainder.
1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Greatest Common Factor
We found the factors 466,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 466,5200 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 38/466, 5542/5200?
Answer: LCM of Numerators as per given numbers 38/466, 5542/5200 is
LCM of Numerators i.e. for 38,5542 is 105298
GCF of denominators i.e. for 466,5200 is 2.
Thus, LCM of Fractions is 52649.Finally, LCM of Fractions for 38/466, 5542/5200 is 52649.