Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 111/429, 894/848, 159/835 quickly i.e. 1753134 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 111/429, 894/848, 159/835 is 1753134.
LCM(111/429, 894/848, 159/835) = 1753134
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 111/429,894/848,159/835
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 111,894,159
Least Common Multiple of Numerators i.e. LCM of 111,894,159 is 1753134.
GCF of Denominators means GCF of 429,848,835 as per the given fractions.
GCF of 429,848,835 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 111,894,159
3 | 111, 894, 159 |
37, 298, 53 |
∴ So the LCM of the given numbers is 3 x 37 x 298 x 53 = 1753134
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 111,894,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,894,159) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(111,894,159) x common factors =3 x 3 = 9
LCM(111,894,159) = ( 111 × 894 × 159 ) / 9
LCM(111,894,159) = 15778206 / 9
LCM(111,894,159) = 1753134
Lets's calculate GCF of 429,848,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1753134/1
Therefore the LCM of Fractions 111/429,894/848,159/835 is 1753134
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 429,848,835 . The biggest common factor number is the GCF number.
So the greatest common factor 429,848,835 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 111/429, 894/848, 159/835?
Answer: LCM of Numerators as per given numbers 111/429, 894/848, 159/835 is
LCM of Numerators i.e. for 111,894,159 is 1753134
GCF of denominators i.e. for 429,848,835 is 1.
Thus, LCM of Fractions is 1753134.Finally, LCM of Fractions for 111/429, 894/848, 159/835 is 1753134.