Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6326/56, 6404/454 quickly i.e. 10127926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6326/56, 6404/454 is 10127926.
LCM(6326/56, 6404/454) = 10127926
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6326/56,6404/454
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 6326,6404
Least Common Multiple of Numerators i.e. LCM of 6326,6404 is 20255852.
GCF of Denominators means GCF of 56,454 as per the given fractions.
GCF of 56,454 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6326,6404
2 | 6326, 6404 |
3163, 3202 |
∴ So the LCM of the given numbers is 2 x 3163 x 3202 = 20255852
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 6326,6404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6326,6404) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6326,6404) x common factors =2 x 1 = 2
LCM(6326,6404) = ( 6326 × 6404 ) / 2
LCM(6326,6404) = 40511704 / 2
LCM(6326,6404) = 20255852
Lets's calculate GCF of 56,454
2 | 56, 454 |
28, 227 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20255852/2
Therefore the LCM of Fractions 6326/56,6404/454 is 10127926
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 56,454 . The biggest common factor number is the GCF number.
So the greatest common factor 56,454 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 6326/56, 6404/454?
Answer: LCM of Numerators as per given numbers 6326/56, 6404/454 is
LCM of Numerators i.e. for 6326,6404 is 20255852
GCF of denominators i.e. for 56,454 is 2.
Thus, LCM of Fractions is 10127926.Finally, LCM of Fractions for 6326/56, 6404/454 is 10127926.