Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 462/38, 938/8154 quickly i.e. 15477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 462/38, 938/8154 is 15477.
LCM(462/38, 938/8154) = 15477
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 462/38,938/8154
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 462,938
Least Common Multiple of Numerators i.e. LCM of 462,938 is 30954.
GCF of Denominators means GCF of 38,8154 as per the given fractions.
GCF of 38,8154 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 462,938
2 | 462, 938 |
7 | 231, 469 |
33, 67 |
∴ So the LCM of the given numbers is 2 x 7 x 33 x 67 = 30954
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 462,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,938) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(462,938) x common factors =14 x 1 = 14
LCM(462,938) = ( 462 × 938 ) / 14
LCM(462,938) = 433356 / 14
LCM(462,938) = 30954
Lets's calculate GCF of 38,8154
2 | 38, 8154 |
19, 4077 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30954/2
Therefore the LCM of Fractions 462/38,938/8154 is 15477
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 8154
List of positive integer factors of 8154 that divides 8154 without a remainder.
1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154
Greatest Common Factor
We found the factors 38,8154 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8154 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 462/38, 938/8154?
Answer: LCM of Numerators as per given numbers 462/38, 938/8154 is
LCM of Numerators i.e. for 462,938 is 30954
GCF of denominators i.e. for 38,8154 is 2.
Thus, LCM of Fractions is 15477.Finally, LCM of Fractions for 462/38, 938/8154 is 15477.