Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 367/62, 209/73, 661/66 quickly i.e. 50700683 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 367/62, 209/73, 661/66 is 50700683.
LCM(367/62, 209/73, 661/66) = 50700683
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 367/62,209/73,661/66
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 367,209,661
Least Common Multiple of Numerators i.e. LCM of 367,209,661 is 50700683.
GCF of Denominators means GCF of 62,73,66 as per the given fractions.
GCF of 62,73,66 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 367,209,661
Given numbers has no common factors except 1. So, there LCM is their product i.e 50700683
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 367,209,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,209,661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,209,661) x common factors =1 x 1 = 1
LCM(367,209,661) = ( 367 × 209 × 661 ) / 1
LCM(367,209,661) = 50700683 / 1
LCM(367,209,661) = 50700683
Lets's calculate GCF of 62,73,66
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50700683/1
Therefore the LCM of Fractions 367/62,209/73,661/66 is 50700683
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Greatest Common Factor
We found the factors 62,73,66 . The biggest common factor number is the GCF number.
So the greatest common factor 62,73,66 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 367/62, 209/73, 661/66?
Answer: LCM of Numerators as per given numbers 367/62, 209/73, 661/66 is
LCM of Numerators i.e. for 367,209,661 is 50700683
GCF of denominators i.e. for 62,73,66 is 1.
Thus, LCM of Fractions is 50700683.Finally, LCM of Fractions for 367/62, 209/73, 661/66 is 50700683.