Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 345/181, 378/839, 789/356 quickly i.e. 11432610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 345/181, 378/839, 789/356 is 11432610.
LCM(345/181, 378/839, 789/356) = 11432610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 345/181,378/839,789/356
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 345,378,789
Least Common Multiple of Numerators i.e. LCM of 345,378,789 is 11432610.
GCF of Denominators means GCF of 181,839,356 as per the given fractions.
GCF of 181,839,356 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 345,378,789
3 | 345, 378, 789 |
115, 126, 263 |
∴ So the LCM of the given numbers is 3 x 115 x 126 x 263 = 11432610
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 345,378,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,378,789) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(345,378,789) x common factors =3 x 3 = 9
LCM(345,378,789) = ( 345 × 378 × 789 ) / 9
LCM(345,378,789) = 102893490 / 9
LCM(345,378,789) = 11432610
Lets's calculate GCF of 181,839,356
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11432610/1
Therefore the LCM of Fractions 345/181,378/839,789/356 is 11432610
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 839
List of positive integer factors of 839 that divides 839 without a remainder.
1,839
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Greatest Common Factor
We found the factors 181,839,356 . The biggest common factor number is the GCF number.
So the greatest common factor 181,839,356 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 345/181, 378/839, 789/356?
Answer: LCM of Numerators as per given numbers 345/181, 378/839, 789/356 is
LCM of Numerators i.e. for 345,378,789 is 11432610
GCF of denominators i.e. for 181,839,356 is 1.
Thus, LCM of Fractions is 11432610.Finally, LCM of Fractions for 345/181, 378/839, 789/356 is 11432610.