Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/923, 111/126, 927/899 quickly i.e. 137196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/923, 111/126, 927/899 is 137196.
LCM(12/923, 111/126, 927/899) = 137196
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/923,111/126,927/899
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 12,111,927
Least Common Multiple of Numerators i.e. LCM of 12,111,927 is 137196.
GCF of Denominators means GCF of 923,126,899 as per the given fractions.
GCF of 923,126,899 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,111,927
3 | 12, 111, 927 |
4, 37, 309 |
∴ So the LCM of the given numbers is 3 x 4 x 37 x 309 = 137196
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 12,111,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,111,927) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(12,111,927) x common factors =3 x 3 = 9
LCM(12,111,927) = ( 12 × 111 × 927 ) / 9
LCM(12,111,927) = 1234764 / 9
LCM(12,111,927) = 137196
Lets's calculate GCF of 923,126,899
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137196/1
Therefore the LCM of Fractions 12/923,111/126,927/899 is 137196
Factors of 923
List of positive integer factors of 923 that divides 923 without a remainder.
1,13,71,923
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Greatest Common Factor
We found the factors 923,126,899 . The biggest common factor number is the GCF number.
So the greatest common factor 923,126,899 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 12/923, 111/126, 927/899?
Answer: LCM of Numerators as per given numbers 12/923, 111/126, 927/899 is
LCM of Numerators i.e. for 12,111,927 is 137196
GCF of denominators i.e. for 923,126,899 is 1.
Thus, LCM of Fractions is 137196.Finally, LCM of Fractions for 12/923, 111/126, 927/899 is 137196.