Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/164, 70/687, 317/384 quickly i.e. 954170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/164, 70/687, 317/384 is 954170.
LCM(43/164, 70/687, 317/384) = 954170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/164,70/687,317/384
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 43,70,317
Least Common Multiple of Numerators i.e. LCM of 43,70,317 is 954170.
GCF of Denominators means GCF of 164,687,384 as per the given fractions.
GCF of 164,687,384 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,70,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 954170
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 43,70,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,70,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,70,317) x common factors =1 x 1 = 1
LCM(43,70,317) = ( 43 × 70 × 317 ) / 1
LCM(43,70,317) = 954170 / 1
LCM(43,70,317) = 954170
Lets's calculate GCF of 164,687,384
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 954170/1
Therefore the LCM of Fractions 43/164,70/687,317/384 is 954170
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Greatest Common Factor
We found the factors 164,687,384 . The biggest common factor number is the GCF number.
So the greatest common factor 164,687,384 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 43/164, 70/687, 317/384?
Answer: LCM of Numerators as per given numbers 43/164, 70/687, 317/384 is
LCM of Numerators i.e. for 43,70,317 is 954170
GCF of denominators i.e. for 164,687,384 is 1.
Thus, LCM of Fractions is 954170.Finally, LCM of Fractions for 43/164, 70/687, 317/384 is 954170.