Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 145/441, 7333/939 quickly i.e. 1063285/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 145/441, 7333/939 is 1063285/3.
LCM(145/441, 7333/939) = 1063285/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 145/441,7333/939
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 145,7333
Least Common Multiple of Numerators i.e. LCM of 145,7333 is 1063285.
GCF of Denominators means GCF of 441,939 as per the given fractions.
GCF of 441,939 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 145,7333
Given numbers has no common factors except 1. So, there LCM is their product i.e 1063285
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 145,7333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(145,7333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(145,7333) x common factors =1 x 1 = 1
LCM(145,7333) = ( 145 × 7333 ) / 1
LCM(145,7333) = 1063285 / 1
LCM(145,7333) = 1063285
Lets's calculate GCF of 441,939
3 | 441, 939 |
147, 313 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1063285/3
Therefore the LCM of Fractions 145/441,7333/939 is 1063285/3
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 441,939 . The biggest common factor number is the GCF number.
So the greatest common factor 441,939 is 3.
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 145/441, 7333/939?
Answer: LCM of Numerators as per given numbers 145/441, 7333/939 is
LCM of Numerators i.e. for 145,7333 is 1063285
GCF of denominators i.e. for 441,939 is 3.
Thus, LCM of Fractions is 1063285/3.Finally, LCM of Fractions for 145/441, 7333/939 is 1063285/3.