Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/289, 18/928, 319/193 quickly i.e. 40194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/289, 18/928, 319/193 is 40194.
LCM(77/289, 18/928, 319/193) = 40194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/289,18/928,319/193
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 77,18,319
Least Common Multiple of Numerators i.e. LCM of 77,18,319 is 40194.
GCF of Denominators means GCF of 289,928,193 as per the given fractions.
GCF of 289,928,193 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,18,319
11 | 77, 18, 319 |
7, 18, 29 |
∴ So the LCM of the given numbers is 11 x 7 x 18 x 29 = 40194
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 77,18,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,18,319) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(77,18,319) x common factors =1 x 11 = 11
LCM(77,18,319) = ( 77 × 18 × 319 ) / 11
LCM(77,18,319) = 442134 / 11
LCM(77,18,319) = 40194
Lets's calculate GCF of 289,928,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40194/1
Therefore the LCM of Fractions 77/289,18/928,319/193 is 40194
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Greatest Common Factor
We found the factors 289,928,193 . The biggest common factor number is the GCF number.
So the greatest common factor 289,928,193 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 77/289, 18/928, 319/193?
Answer: LCM of Numerators as per given numbers 77/289, 18/928, 319/193 is
LCM of Numerators i.e. for 77,18,319 is 40194
GCF of denominators i.e. for 289,928,193 is 1.
Thus, LCM of Fractions is 40194.Finally, LCM of Fractions for 77/289, 18/928, 319/193 is 40194.