Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/111, 348/818, 879/631 quickly i.e. 101964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/111, 348/818, 879/631 is 101964.
LCM(12/111, 348/818, 879/631) = 101964
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/111,348/818,879/631
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 12,348,879
Least Common Multiple of Numerators i.e. LCM of 12,348,879 is 101964.
GCF of Denominators means GCF of 111,818,631 as per the given fractions.
GCF of 111,818,631 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,348,879
2 | 12, 348, 879 |
2 | 6, 174, 879 |
3 | 3, 87, 879 |
1, 29, 293 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 29 x 293 = 101964
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 12,348,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,348,879) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(12,348,879) x common factors =3 x 12 = 36
LCM(12,348,879) = ( 12 × 348 × 879 ) / 36
LCM(12,348,879) = 3670704 / 36
LCM(12,348,879) = 101964
Lets's calculate GCF of 111,818,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101964/1
Therefore the LCM of Fractions 12/111,348/818,879/631 is 101964
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Greatest Common Factor
We found the factors 111,818,631 . The biggest common factor number is the GCF number.
So the greatest common factor 111,818,631 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 12/111, 348/818, 879/631?
Answer: LCM of Numerators as per given numbers 12/111, 348/818, 879/631 is
LCM of Numerators i.e. for 12,348,879 is 101964
GCF of denominators i.e. for 111,818,631 is 1.
Thus, LCM of Fractions is 101964.Finally, LCM of Fractions for 12/111, 348/818, 879/631 is 101964.