Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 525/38, 551/8483 quickly i.e. 289275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 525/38, 551/8483 is 289275.
LCM(525/38, 551/8483) = 289275
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 525/38,551/8483
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 525,551
Least Common Multiple of Numerators i.e. LCM of 525,551 is 289275.
GCF of Denominators means GCF of 38,8483 as per the given fractions.
GCF of 38,8483 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 525,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 289275
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 525,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(525,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(525,551) x common factors =1 x 1 = 1
LCM(525,551) = ( 525 × 551 ) / 1
LCM(525,551) = 289275 / 1
LCM(525,551) = 289275
Lets's calculate GCF of 38,8483
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289275/1
Therefore the LCM of Fractions 525/38,551/8483 is 289275
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 8483
List of positive integer factors of 8483 that divides 8483 without a remainder.
1,17,499,8483
Greatest Common Factor
We found the factors 38,8483 . The biggest common factor number is the GCF number.
So the greatest common factor 38,8483 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 525/38, 551/8483?
Answer: LCM of Numerators as per given numbers 525/38, 551/8483 is
LCM of Numerators i.e. for 525,551 is 289275
GCF of denominators i.e. for 38,8483 is 1.
Thus, LCM of Fractions is 289275.Finally, LCM of Fractions for 525/38, 551/8483 is 289275.