Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 330/364, 437/933, 941/109 quickly i.e. 135701610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 330/364, 437/933, 941/109 is 135701610.
LCM(330/364, 437/933, 941/109) = 135701610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 330/364,437/933,941/109
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 330,437,941
Least Common Multiple of Numerators i.e. LCM of 330,437,941 is 135701610.
GCF of Denominators means GCF of 364,933,109 as per the given fractions.
GCF of 364,933,109 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 330,437,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 135701610
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 330,437,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,437,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(330,437,941) x common factors =1 x 1 = 1
LCM(330,437,941) = ( 330 × 437 × 941 ) / 1
LCM(330,437,941) = 135701610 / 1
LCM(330,437,941) = 135701610
Lets's calculate GCF of 364,933,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135701610/1
Therefore the LCM of Fractions 330/364,437/933,941/109 is 135701610
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Greatest Common Factor
We found the factors 364,933,109 . The biggest common factor number is the GCF number.
So the greatest common factor 364,933,109 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 330/364, 437/933, 941/109?
Answer: LCM of Numerators as per given numbers 330/364, 437/933, 941/109 is
LCM of Numerators i.e. for 330,437,941 is 135701610
GCF of denominators i.e. for 364,933,109 is 1.
Thus, LCM of Fractions is 135701610.Finally, LCM of Fractions for 330/364, 437/933, 941/109 is 135701610.