Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 527/525, 183/753, 253/359 quickly i.e. 24399573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 527/525, 183/753, 253/359 is 24399573.
LCM(527/525, 183/753, 253/359) = 24399573
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 527/525,183/753,253/359
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 527,183,253
Least Common Multiple of Numerators i.e. LCM of 527,183,253 is 24399573.
GCF of Denominators means GCF of 525,753,359 as per the given fractions.
GCF of 525,753,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 527,183,253
Given numbers has no common factors except 1. So, there LCM is their product i.e 24399573
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 527,183,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,183,253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,183,253) x common factors =1 x 1 = 1
LCM(527,183,253) = ( 527 × 183 × 253 ) / 1
LCM(527,183,253) = 24399573 / 1
LCM(527,183,253) = 24399573
Lets's calculate GCF of 525,753,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24399573/1
Therefore the LCM of Fractions 527/525,183/753,253/359 is 24399573
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 525,753,359 . The biggest common factor number is the GCF number.
So the greatest common factor 525,753,359 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 527/525, 183/753, 253/359?
Answer: LCM of Numerators as per given numbers 527/525, 183/753, 253/359 is
LCM of Numerators i.e. for 527,183,253 is 24399573
GCF of denominators i.e. for 525,753,359 is 1.
Thus, LCM of Fractions is 24399573.Finally, LCM of Fractions for 527/525, 183/753, 253/359 is 24399573.