Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7496/232, 7643/600 quickly i.e. 7161491 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7496/232, 7643/600 is 7161491.
LCM(7496/232, 7643/600) = 7161491
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7496/232,7643/600
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 7496,7643
Least Common Multiple of Numerators i.e. LCM of 7496,7643 is 57291928.
GCF of Denominators means GCF of 232,600 as per the given fractions.
GCF of 232,600 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7496,7643
Given numbers has no common factors except 1. So, there LCM is their product i.e 57291928
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 7496,7643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7496,7643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7496,7643) x common factors =1 x 1 = 1
LCM(7496,7643) = ( 7496 × 7643 ) / 1
LCM(7496,7643) = 57291928 / 1
LCM(7496,7643) = 57291928
Lets's calculate GCF of 232,600
2 | 232, 600 |
2 | 116, 300 |
2 | 58, 150 |
29, 75 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57291928/8
Therefore the LCM of Fractions 7496/232,7643/600 is 7161491
Factors of 232
List of positive integer factors of 232 that divides 232 without a remainder.
1,2,4,8,29,58,116,232
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 232,600 . The biggest common factor number is the GCF number.
So the greatest common factor 232,600 is 8.
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 7496/232, 7643/600?
Answer: LCM of Numerators as per given numbers 7496/232, 7643/600 is
LCM of Numerators i.e. for 7496,7643 is 57291928
GCF of denominators i.e. for 232,600 is 8.
Thus, LCM of Fractions is 7161491.Finally, LCM of Fractions for 7496/232, 7643/600 is 7161491.