Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/829, 279/696, 386/368 quickly i.e. 107694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/829, 279/696, 386/368 is 107694.
LCM(18/829, 279/696, 386/368) = 107694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/829,279/696,386/368
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 18,279,386
Least Common Multiple of Numerators i.e. LCM of 18,279,386 is 107694.
GCF of Denominators means GCF of 829,696,368 as per the given fractions.
GCF of 829,696,368 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,279,386
2 | 18, 279, 386 |
3 | 9, 279, 193 |
3 | 3, 93, 193 |
1, 31, 193 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 31 x 193 = 107694
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 18,279,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,279,386) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(18,279,386) x common factors =1 x 18 = 18
LCM(18,279,386) = ( 18 × 279 × 386 ) / 18
LCM(18,279,386) = 1938492 / 18
LCM(18,279,386) = 107694
Lets's calculate GCF of 829,696,368
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107694/1
Therefore the LCM of Fractions 18/829,279/696,386/368 is 107694
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 829,696,368 . The biggest common factor number is the GCF number.
So the greatest common factor 829,696,368 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 18/829, 279/696, 386/368?
Answer: LCM of Numerators as per given numbers 18/829, 279/696, 386/368 is
LCM of Numerators i.e. for 18,279,386 is 107694
GCF of denominators i.e. for 829,696,368 is 1.
Thus, LCM of Fractions is 107694.Finally, LCM of Fractions for 18/829, 279/696, 386/368 is 107694.