Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/454, 6313/6521 quickly i.e. 340902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/454, 6313/6521 is 340902.
LCM(54/454, 6313/6521) = 340902
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/454,6313/6521
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 54,6313
Least Common Multiple of Numerators i.e. LCM of 54,6313 is 340902.
GCF of Denominators means GCF of 454,6521 as per the given fractions.
GCF of 454,6521 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,6313
Given numbers has no common factors except 1. So, there LCM is their product i.e 340902
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 54,6313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,6313) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,6313) x common factors =1 x 1 = 1
LCM(54,6313) = ( 54 × 6313 ) / 1
LCM(54,6313) = 340902 / 1
LCM(54,6313) = 340902
Lets's calculate GCF of 454,6521
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 340902/1
Therefore the LCM of Fractions 54/454,6313/6521 is 340902
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 6521
List of positive integer factors of 6521 that divides 6521 without a remainder.
1,6521
Greatest Common Factor
We found the factors 454,6521 . The biggest common factor number is the GCF number.
So the greatest common factor 454,6521 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 54/454, 6313/6521?
Answer: LCM of Numerators as per given numbers 54/454, 6313/6521 is
LCM of Numerators i.e. for 54,6313 is 340902
GCF of denominators i.e. for 454,6521 is 1.
Thus, LCM of Fractions is 340902.Finally, LCM of Fractions for 54/454, 6313/6521 is 340902.