Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6256/440, 7203/834 quickly i.e. 22530984 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6256/440, 7203/834 is 22530984.
LCM(6256/440, 7203/834) = 22530984
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6256/440,7203/834
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 6256,7203
Least Common Multiple of Numerators i.e. LCM of 6256,7203 is 45061968.
GCF of Denominators means GCF of 440,834 as per the given fractions.
GCF of 440,834 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6256,7203
Given numbers has no common factors except 1. So, there LCM is their product i.e 45061968
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 6256,7203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6256,7203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6256,7203) x common factors =1 x 1 = 1
LCM(6256,7203) = ( 6256 × 7203 ) / 1
LCM(6256,7203) = 45061968 / 1
LCM(6256,7203) = 45061968
Lets's calculate GCF of 440,834
2 | 440, 834 |
220, 417 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45061968/2
Therefore the LCM of Fractions 6256/440,7203/834 is 22530984
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Greatest Common Factor
We found the factors 440,834 . The biggest common factor number is the GCF number.
So the greatest common factor 440,834 is 2.
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 6256/440, 7203/834?
Answer: LCM of Numerators as per given numbers 6256/440, 7203/834 is
LCM of Numerators i.e. for 6256,7203 is 45061968
GCF of denominators i.e. for 440,834 is 2.
Thus, LCM of Fractions is 22530984.Finally, LCM of Fractions for 6256/440, 7203/834 is 22530984.