Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/96, 519/2544 quickly i.e. 90825/48 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/96, 519/2544 is 90825/48.
LCM(525/96, 519/2544) = 90825/48
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/96,519/2544
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 525,519
Least Common Multiple of Numerators i.e. LCM of 525,519 is 90825.
GCF of Denominators means GCF of 96,2544 as per the given fractions.
GCF of 96,2544 is 48 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,519
3 | 525, 519 |
175, 173 |
∴ So the LCM of the given numbers is 3 x 175 x 173 = 90825
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 525,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,519) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(525,519) x common factors =3 x 1 = 3
LCM(525,519) = ( 525 × 519 ) / 3
LCM(525,519) = 272475 / 3
LCM(525,519) = 90825
Lets's calculate GCF of 96,2544
2 | 96, 2544 |
2 | 48, 1272 |
2 | 24, 636 |
2 | 12, 318 |
3 | 6, 159 |
2, 53 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90825/48
Therefore the LCM of Fractions 525/96,519/2544 is 90825/48
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 2544
List of positive integer factors of 2544 that divides 2544 without a remainder.
1,2,3,4,6,8,12,16,24,48,53,106,159,212,318,424,636,848,1272,2544
Greatest Common Factor
We found the factors 96,2544 . The biggest common factor number is the GCF number.
So the greatest common factor 96,2544 is 48.
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 525/96, 519/2544?
Answer: LCM of Numerators as per given numbers 525/96, 519/2544 is
LCM of Numerators i.e. for 525,519 is 90825
GCF of denominators i.e. for 96,2544 is 48.
Thus, LCM of Fractions is 90825/48.Finally, LCM of Fractions for 525/96, 519/2544 is 90825/48.