Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/356, 7303/3779 quickly i.e. 649967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/356, 7303/3779 is 649967.
LCM(89/356, 7303/3779) = 649967
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/356,7303/3779
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 89,7303
Least Common Multiple of Numerators i.e. LCM of 89,7303 is 649967.
GCF of Denominators means GCF of 356,3779 as per the given fractions.
GCF of 356,3779 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,7303
Given numbers has no common factors except 1. So, there LCM is their product i.e 649967
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 89,7303 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,7303) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,7303) x common factors =1 x 1 = 1
LCM(89,7303) = ( 89 × 7303 ) / 1
LCM(89,7303) = 649967 / 1
LCM(89,7303) = 649967
Lets's calculate GCF of 356,3779
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 649967/1
Therefore the LCM of Fractions 89/356,7303/3779 is 649967
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 3779
List of positive integer factors of 3779 that divides 3779 without a remainder.
1,3779
Greatest Common Factor
We found the factors 356,3779 . The biggest common factor number is the GCF number.
So the greatest common factor 356,3779 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 89/356, 7303/3779?
Answer: LCM of Numerators as per given numbers 89/356, 7303/3779 is
LCM of Numerators i.e. for 89,7303 is 649967
GCF of denominators i.e. for 356,3779 is 1.
Thus, LCM of Fractions is 649967.Finally, LCM of Fractions for 89/356, 7303/3779 is 649967.