Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6040/143, 2433/737 quickly i.e. 14695320/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6040/143, 2433/737 is 14695320/11.
LCM(6040/143, 2433/737) = 14695320/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6040/143,2433/737
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 6040,2433
Least Common Multiple of Numerators i.e. LCM of 6040,2433 is 14695320.
GCF of Denominators means GCF of 143,737 as per the given fractions.
GCF of 143,737 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6040,2433
Given numbers has no common factors except 1. So, there LCM is their product i.e 14695320
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 6040,2433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6040,2433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6040,2433) x common factors =1 x 1 = 1
LCM(6040,2433) = ( 6040 × 2433 ) / 1
LCM(6040,2433) = 14695320 / 1
LCM(6040,2433) = 14695320
Lets's calculate GCF of 143,737
11 | 143, 737 |
13, 67 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14695320/11
Therefore the LCM of Fractions 6040/143,2433/737 is 14695320/11
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 143,737 . The biggest common factor number is the GCF number.
So the greatest common factor 143,737 is 11.
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 6040/143, 2433/737?
Answer: LCM of Numerators as per given numbers 6040/143, 2433/737 is
LCM of Numerators i.e. for 6040,2433 is 14695320
GCF of denominators i.e. for 143,737 is 11.
Thus, LCM of Fractions is 14695320/11.Finally, LCM of Fractions for 6040/143, 2433/737 is 14695320/11.