Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/885, 350/510, 361/415 quickly i.e. 25270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/885, 350/510, 361/415 is 25270.
LCM(38/885, 350/510, 361/415) = 25270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/885,350/510,361/415
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 38,350,361
Least Common Multiple of Numerators i.e. LCM of 38,350,361 is 126350.
GCF of Denominators means GCF of 885,510,415 as per the given fractions.
GCF of 885,510,415 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,350,361
2 | 38, 350, 361 |
19 | 19, 175, 361 |
1, 175, 19 |
∴ So the LCM of the given numbers is 2 x 19 x 1 x 175 x 19 = 126350
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 38,350,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,350,361) = 1
common factors(in case of two or more numbers have common factors) = 38
GCF(38,350,361) x common factors =1 x 38 = 38
LCM(38,350,361) = ( 38 × 350 × 361 ) / 38
LCM(38,350,361) = 4801300 / 38
LCM(38,350,361) = 126350
Lets's calculate GCF of 885,510,415
5 | 885, 510, 415 |
177, 102, 83 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126350/5
Therefore the LCM of Fractions 38/885,350/510,361/415 is 25270
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 885,510,415 . The biggest common factor number is the GCF number.
So the greatest common factor 885,510,415 is 5.
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 38/885, 350/510, 361/415?
Answer: LCM of Numerators as per given numbers 38/885, 350/510, 361/415 is
LCM of Numerators i.e. for 38,350,361 is 126350
GCF of denominators i.e. for 885,510,415 is 5.
Thus, LCM of Fractions is 25270.Finally, LCM of Fractions for 38/885, 350/510, 361/415 is 25270.