Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/956, 34/991, 343/289 quickly i.e. 104958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/956, 34/991, 343/289 is 104958.
LCM(18/956, 34/991, 343/289) = 104958
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/956,34/991,343/289
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 18,34,343
Least Common Multiple of Numerators i.e. LCM of 18,34,343 is 104958.
GCF of Denominators means GCF of 956,991,289 as per the given fractions.
GCF of 956,991,289 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,34,343
2 | 18, 34, 343 |
9, 17, 343 |
∴ So the LCM of the given numbers is 2 x 9 x 17 x 343 = 104958
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 18,34,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,34,343) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,34,343) x common factors =1 x 2 = 2
LCM(18,34,343) = ( 18 × 34 × 343 ) / 2
LCM(18,34,343) = 209916 / 2
LCM(18,34,343) = 104958
Lets's calculate GCF of 956,991,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104958/1
Therefore the LCM of Fractions 18/956,34/991,343/289 is 104958
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Greatest Common Factor
We found the factors 956,991,289 . The biggest common factor number is the GCF number.
So the greatest common factor 956,991,289 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 18/956, 34/991, 343/289?
Answer: LCM of Numerators as per given numbers 18/956, 34/991, 343/289 is
LCM of Numerators i.e. for 18,34,343 is 104958
GCF of denominators i.e. for 956,991,289 is 1.
Thus, LCM of Fractions is 104958.Finally, LCM of Fractions for 18/956, 34/991, 343/289 is 104958.