Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/538, 7646/7432 quickly i.e. 363185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/538, 7646/7432 is 363185.
LCM(95/538, 7646/7432) = 363185
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/538,7646/7432
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 95,7646
Least Common Multiple of Numerators i.e. LCM of 95,7646 is 726370.
GCF of Denominators means GCF of 538,7432 as per the given fractions.
GCF of 538,7432 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,7646
Given numbers has no common factors except 1. So, there LCM is their product i.e 726370
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 95,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,7646) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,7646) x common factors =1 x 1 = 1
LCM(95,7646) = ( 95 × 7646 ) / 1
LCM(95,7646) = 726370 / 1
LCM(95,7646) = 726370
Lets's calculate GCF of 538,7432
2 | 538, 7432 |
269, 3716 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 726370/2
Therefore the LCM of Fractions 95/538,7646/7432 is 363185
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Factors of 7432
List of positive integer factors of 7432 that divides 7432 without a remainder.
1,2,4,8,929,1858,3716,7432
Greatest Common Factor
We found the factors 538,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 538,7432 is 2.
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 95/538, 7646/7432?
Answer: LCM of Numerators as per given numbers 95/538, 7646/7432 is
LCM of Numerators i.e. for 95,7646 is 726370
GCF of denominators i.e. for 538,7432 is 2.
Thus, LCM of Fractions is 363185.Finally, LCM of Fractions for 95/538, 7646/7432 is 363185.