Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/394, 365/242, 437/149 quickly i.e. 319010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/394, 365/242, 437/149 is 319010.
LCM(38/394, 365/242, 437/149) = 319010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/394,365/242,437/149
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 38,365,437
Least Common Multiple of Numerators i.e. LCM of 38,365,437 is 319010.
GCF of Denominators means GCF of 394,242,149 as per the given fractions.
GCF of 394,242,149 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,365,437
19 | 38, 365, 437 |
2, 365, 23 |
∴ So the LCM of the given numbers is 19 x 2 x 365 x 23 = 319010
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 38,365,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,365,437) = 1
common factors(in case of two or more numbers have common factors) = 19
GCF(38,365,437) x common factors =1 x 19 = 19
LCM(38,365,437) = ( 38 × 365 × 437 ) / 19
LCM(38,365,437) = 6061190 / 19
LCM(38,365,437) = 319010
Lets's calculate GCF of 394,242,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319010/1
Therefore the LCM of Fractions 38/394,365/242,437/149 is 319010
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Greatest Common Factor
We found the factors 394,242,149 . The biggest common factor number is the GCF number.
So the greatest common factor 394,242,149 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 38/394, 365/242, 437/149?
Answer: LCM of Numerators as per given numbers 38/394, 365/242, 437/149 is
LCM of Numerators i.e. for 38,365,437 is 319010
GCF of denominators i.e. for 394,242,149 is 1.
Thus, LCM of Fractions is 319010.Finally, LCM of Fractions for 38/394, 365/242, 437/149 is 319010.