Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 425/41, 824/7243 quickly i.e. 350200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 425/41, 824/7243 is 350200.
LCM(425/41, 824/7243) = 350200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 425/41,824/7243
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 425,824
Least Common Multiple of Numerators i.e. LCM of 425,824 is 350200.
GCF of Denominators means GCF of 41,7243 as per the given fractions.
GCF of 41,7243 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 425,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 350200
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 425,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(425,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(425,824) x common factors =1 x 1 = 1
LCM(425,824) = ( 425 × 824 ) / 1
LCM(425,824) = 350200 / 1
LCM(425,824) = 350200
Lets's calculate GCF of 41,7243
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350200/1
Therefore the LCM of Fractions 425/41,824/7243 is 350200
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 7243
List of positive integer factors of 7243 that divides 7243 without a remainder.
1,7243
Greatest Common Factor
We found the factors 41,7243 . The biggest common factor number is the GCF number.
So the greatest common factor 41,7243 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 425/41, 824/7243?
Answer: LCM of Numerators as per given numbers 425/41, 824/7243 is
LCM of Numerators i.e. for 425,824 is 350200
GCF of denominators i.e. for 41,7243 is 1.
Thus, LCM of Fractions is 350200.Finally, LCM of Fractions for 425/41, 824/7243 is 350200.