Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 364/66, 899/6733 quickly i.e. 327236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 364/66, 899/6733 is 327236.
LCM(364/66, 899/6733) = 327236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 364/66,899/6733
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 364,899
Least Common Multiple of Numerators i.e. LCM of 364,899 is 327236.
GCF of Denominators means GCF of 66,6733 as per the given fractions.
GCF of 66,6733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 364,899
Given numbers has no common factors except 1. So, there LCM is their product i.e 327236
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 364,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(364,899) x common factors =1 x 1 = 1
LCM(364,899) = ( 364 × 899 ) / 1
LCM(364,899) = 327236 / 1
LCM(364,899) = 327236
Lets's calculate GCF of 66,6733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327236/1
Therefore the LCM of Fractions 364/66,899/6733 is 327236
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 6733
List of positive integer factors of 6733 that divides 6733 without a remainder.
1,6733
Greatest Common Factor
We found the factors 66,6733 . The biggest common factor number is the GCF number.
So the greatest common factor 66,6733 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 364/66, 899/6733?
Answer: LCM of Numerators as per given numbers 364/66, 899/6733 is
LCM of Numerators i.e. for 364,899 is 327236
GCF of denominators i.e. for 66,6733 is 1.
Thus, LCM of Fractions is 327236.Finally, LCM of Fractions for 364/66, 899/6733 is 327236.