Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/349, 96/348, 838/227 quickly i.e. 40224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/349, 96/348, 838/227 is 40224.
LCM(12/349, 96/348, 838/227) = 40224
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/349,96/348,838/227
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 12,96,838
Least Common Multiple of Numerators i.e. LCM of 12,96,838 is 40224.
GCF of Denominators means GCF of 349,348,227 as per the given fractions.
GCF of 349,348,227 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,96,838
2 | 12, 96, 838 |
2 | 6, 48, 419 |
3 | 3, 24, 419 |
1, 8, 419 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 8 x 419 = 40224
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 12,96,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,96,838) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(12,96,838) x common factors =2 x 12 = 24
LCM(12,96,838) = ( 12 × 96 × 838 ) / 24
LCM(12,96,838) = 965376 / 24
LCM(12,96,838) = 40224
Lets's calculate GCF of 349,348,227
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40224/1
Therefore the LCM of Fractions 12/349,96/348,838/227 is 40224
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Greatest Common Factor
We found the factors 349,348,227 . The biggest common factor number is the GCF number.
So the greatest common factor 349,348,227 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 12/349, 96/348, 838/227?
Answer: LCM of Numerators as per given numbers 12/349, 96/348, 838/227 is
LCM of Numerators i.e. for 12,96,838 is 40224
GCF of denominators i.e. for 349,348,227 is 1.
Thus, LCM of Fractions is 40224.Finally, LCM of Fractions for 12/349, 96/348, 838/227 is 40224.