Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/534, 7490/4447 quickly i.e. 396970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/534, 7490/4447 is 396970.
LCM(53/534, 7490/4447) = 396970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/534,7490/4447
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 53,7490
Least Common Multiple of Numerators i.e. LCM of 53,7490 is 396970.
GCF of Denominators means GCF of 534,4447 as per the given fractions.
GCF of 534,4447 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,7490
Given numbers has no common factors except 1. So, there LCM is their product i.e 396970
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 53,7490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,7490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,7490) x common factors =1 x 1 = 1
LCM(53,7490) = ( 53 × 7490 ) / 1
LCM(53,7490) = 396970 / 1
LCM(53,7490) = 396970
Lets's calculate GCF of 534,4447
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396970/1
Therefore the LCM of Fractions 53/534,7490/4447 is 396970
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 4447
List of positive integer factors of 4447 that divides 4447 without a remainder.
1,4447
Greatest Common Factor
We found the factors 534,4447 . The biggest common factor number is the GCF number.
So the greatest common factor 534,4447 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 53/534, 7490/4447?
Answer: LCM of Numerators as per given numbers 53/534, 7490/4447 is
LCM of Numerators i.e. for 53,7490 is 396970
GCF of denominators i.e. for 534,4447 is 1.
Thus, LCM of Fractions is 396970.Finally, LCM of Fractions for 53/534, 7490/4447 is 396970.