Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7558/23, 9246/732 quickly i.e. 34940634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7558/23, 9246/732 is 34940634.
LCM(7558/23, 9246/732) = 34940634
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7558/23,9246/732
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 7558,9246
Least Common Multiple of Numerators i.e. LCM of 7558,9246 is 34940634.
GCF of Denominators means GCF of 23,732 as per the given fractions.
GCF of 23,732 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7558,9246
2 | 7558, 9246 |
3779, 4623 |
∴ So the LCM of the given numbers is 2 x 3779 x 4623 = 34940634
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 7558,9246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7558,9246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7558,9246) x common factors =2 x 1 = 2
LCM(7558,9246) = ( 7558 × 9246 ) / 2
LCM(7558,9246) = 69881268 / 2
LCM(7558,9246) = 34940634
Lets's calculate GCF of 23,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34940634/1
Therefore the LCM of Fractions 7558/23,9246/732 is 34940634
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 23,732 . The biggest common factor number is the GCF number.
So the greatest common factor 23,732 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 7558/23, 9246/732?
Answer: LCM of Numerators as per given numbers 7558/23, 9246/732 is
LCM of Numerators i.e. for 7558,9246 is 34940634
GCF of denominators i.e. for 23,732 is 1.
Thus, LCM of Fractions is 34940634.Finally, LCM of Fractions for 7558/23, 9246/732 is 34940634.