Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 302/70, 721/74, 363/866 quickly i.e. 39520173 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 302/70, 721/74, 363/866 is 39520173.
LCM(302/70, 721/74, 363/866) = 39520173
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 302/70,721/74,363/866
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 302,721,363
Least Common Multiple of Numerators i.e. LCM of 302,721,363 is 79040346.
GCF of Denominators means GCF of 70,74,866 as per the given fractions.
GCF of 70,74,866 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 302,721,363
Given numbers has no common factors except 1. So, there LCM is their product i.e 79040346
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 302,721,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,721,363) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,721,363) x common factors =1 x 1 = 1
LCM(302,721,363) = ( 302 × 721 × 363 ) / 1
LCM(302,721,363) = 79040346 / 1
LCM(302,721,363) = 79040346
Lets's calculate GCF of 70,74,866
2 | 70, 74, 866 |
35, 37, 433 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79040346/2
Therefore the LCM of Fractions 302/70,721/74,363/866 is 39520173
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 866
List of positive integer factors of 866 that divides 866 without a remainder.
1,2,433,866
Greatest Common Factor
We found the factors 70,74,866 . The biggest common factor number is the GCF number.
So the greatest common factor 70,74,866 is 2.
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 302/70, 721/74, 363/866?
Answer: LCM of Numerators as per given numbers 302/70, 721/74, 363/866 is
LCM of Numerators i.e. for 302,721,363 is 79040346
GCF of denominators i.e. for 70,74,866 is 2.
Thus, LCM of Fractions is 39520173.Finally, LCM of Fractions for 302/70, 721/74, 363/866 is 39520173.