Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 258/94, 381/4192 quickly i.e. 16383 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 258/94, 381/4192 is 16383.
LCM(258/94, 381/4192) = 16383
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 258/94,381/4192
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 258,381
Least Common Multiple of Numerators i.e. LCM of 258,381 is 32766.
GCF of Denominators means GCF of 94,4192 as per the given fractions.
GCF of 94,4192 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 258,381
3 | 258, 381 |
86, 127 |
∴ So the LCM of the given numbers is 3 x 86 x 127 = 32766
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 258,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,381) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(258,381) x common factors =3 x 1 = 3
LCM(258,381) = ( 258 × 381 ) / 3
LCM(258,381) = 98298 / 3
LCM(258,381) = 32766
Lets's calculate GCF of 94,4192
2 | 94, 4192 |
47, 2096 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32766/2
Therefore the LCM of Fractions 258/94,381/4192 is 16383
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 4192
List of positive integer factors of 4192 that divides 4192 without a remainder.
1,2,4,8,16,32,131,262,524,1048,2096,4192
Greatest Common Factor
We found the factors 94,4192 . The biggest common factor number is the GCF number.
So the greatest common factor 94,4192 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 258/94, 381/4192?
Answer: LCM of Numerators as per given numbers 258/94, 381/4192 is
LCM of Numerators i.e. for 258,381 is 32766
GCF of denominators i.e. for 94,4192 is 2.
Thus, LCM of Fractions is 16383.Finally, LCM of Fractions for 258/94, 381/4192 is 16383.