Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 563/525, 907/908, 939/288 quickly i.e. 479491899 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 563/525, 907/908, 939/288 is 479491899.
LCM(563/525, 907/908, 939/288) = 479491899
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 563/525,907/908,939/288
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 563,907,939
Least Common Multiple of Numerators i.e. LCM of 563,907,939 is 479491899.
GCF of Denominators means GCF of 525,908,288 as per the given fractions.
GCF of 525,908,288 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 563,907,939
Given numbers has no common factors except 1. So, there LCM is their product i.e 479491899
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 563,907,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,907,939) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,907,939) x common factors =1 x 1 = 1
LCM(563,907,939) = ( 563 × 907 × 939 ) / 1
LCM(563,907,939) = 479491899 / 1
LCM(563,907,939) = 479491899
Lets's calculate GCF of 525,908,288
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 479491899/1
Therefore the LCM of Fractions 563/525,907/908,939/288 is 479491899
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 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 525,908,288 . The biggest common factor number is the GCF number.
So the greatest common factor 525,908,288 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 563/525, 907/908, 939/288?
Answer: LCM of Numerators as per given numbers 563/525, 907/908, 939/288 is
LCM of Numerators i.e. for 563,907,939 is 479491899
GCF of denominators i.e. for 525,908,288 is 1.
Thus, LCM of Fractions is 479491899.Finally, LCM of Fractions for 563/525, 907/908, 939/288 is 479491899.