Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 667/930, 474/471 quickly i.e. 105386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 667/930, 474/471 is 105386.
LCM(667/930, 474/471) = 105386
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 667/930,474/471
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 667,474
Least Common Multiple of Numerators i.e. LCM of 667,474 is 316158.
GCF of Denominators means GCF of 930,471 as per the given fractions.
GCF of 930,471 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 667,474
Given numbers has no common factors except 1. So, there LCM is their product i.e 316158
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 667,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,474) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,474) x common factors =1 x 1 = 1
LCM(667,474) = ( 667 × 474 ) / 1
LCM(667,474) = 316158 / 1
LCM(667,474) = 316158
Lets's calculate GCF of 930,471
3 | 930, 471 |
310, 157 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 316158/3
Therefore the LCM of Fractions 667/930,474/471 is 105386
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Greatest Common Factor
We found the factors 930,471 . The biggest common factor number is the GCF number.
So the greatest common factor 930,471 is 3.
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 667/930, 474/471?
Answer: LCM of Numerators as per given numbers 667/930, 474/471 is
LCM of Numerators i.e. for 667,474 is 316158
GCF of denominators i.e. for 930,471 is 3.
Thus, LCM of Fractions is 105386.Finally, LCM of Fractions for 667/930, 474/471 is 105386.