Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 319/660, 6223/187 quickly i.e. 180467 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 319/660, 6223/187 is 180467.
LCM(319/660, 6223/187) = 180467
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 319/660,6223/187
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 319,6223
Least Common Multiple of Numerators i.e. LCM of 319,6223 is 1985137.
GCF of Denominators means GCF of 660,187 as per the given fractions.
GCF of 660,187 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 319,6223
Given numbers has no common factors except 1. So, there LCM is their product i.e 1985137
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 319,6223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,6223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,6223) x common factors =1 x 1 = 1
LCM(319,6223) = ( 319 × 6223 ) / 1
LCM(319,6223) = 1985137 / 1
LCM(319,6223) = 1985137
Lets's calculate GCF of 660,187
11 | 660, 187 |
60, 17 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1985137/11
Therefore the LCM of Fractions 319/660,6223/187 is 180467
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Greatest Common Factor
We found the factors 660,187 . The biggest common factor number is the GCF number.
So the greatest common factor 660,187 is 11.
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 319/660, 6223/187?
Answer: LCM of Numerators as per given numbers 319/660, 6223/187 is
LCM of Numerators i.e. for 319,6223 is 1985137
GCF of denominators i.e. for 660,187 is 11.
Thus, LCM of Fractions is 180467.Finally, LCM of Fractions for 319/660, 6223/187 is 180467.