Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/596, 87/634, 75/523 quickly i.e. 6525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/596, 87/634, 75/523 is 6525.
LCM(9/596, 87/634, 75/523) = 6525
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/596,87/634,75/523
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 9,87,75
Least Common Multiple of Numerators i.e. LCM of 9,87,75 is 6525.
GCF of Denominators means GCF of 596,634,523 as per the given fractions.
GCF of 596,634,523 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,87,75
3 | 9, 87, 75 |
3, 29, 25 |
∴ So the LCM of the given numbers is 3 x 3 x 29 x 25 = 6525
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 9,87,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,87,75) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(9,87,75) x common factors =3 x 3 = 9
LCM(9,87,75) = ( 9 × 87 × 75 ) / 9
LCM(9,87,75) = 58725 / 9
LCM(9,87,75) = 6525
Lets's calculate GCF of 596,634,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6525/1
Therefore the LCM of Fractions 9/596,87/634,75/523 is 6525
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 523
List of positive integer factors of 523 that divides 523 without a remainder.
1,523
Greatest Common Factor
We found the factors 596,634,523 . The biggest common factor number is the GCF number.
So the greatest common factor 596,634,523 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 9/596, 87/634, 75/523?
Answer: LCM of Numerators as per given numbers 9/596, 87/634, 75/523 is
LCM of Numerators i.e. for 9,87,75 is 6525
GCF of denominators i.e. for 596,634,523 is 1.
Thus, LCM of Fractions is 6525.Finally, LCM of Fractions for 9/596, 87/634, 75/523 is 6525.