Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 904/25, 306/63, 506/532 quickly i.e. 34992936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 904/25, 306/63, 506/532 is 34992936.
LCM(904/25, 306/63, 506/532) = 34992936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 904/25,306/63,506/532
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 904,306,506
Least Common Multiple of Numerators i.e. LCM of 904,306,506 is 34992936.
GCF of Denominators means GCF of 25,63,532 as per the given fractions.
GCF of 25,63,532 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 904,306,506
2 | 904, 306, 506 |
452, 153, 253 |
∴ So the LCM of the given numbers is 2 x 452 x 153 x 253 = 34992936
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 904,306,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,306,506) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(904,306,506) x common factors =2 x 2 = 4
LCM(904,306,506) = ( 904 × 306 × 506 ) / 4
LCM(904,306,506) = 139971744 / 4
LCM(904,306,506) = 34992936
Lets's calculate GCF of 25,63,532
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34992936/1
Therefore the LCM of Fractions 904/25,306/63,506/532 is 34992936
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Greatest Common Factor
We found the factors 25,63,532 . The biggest common factor number is the GCF number.
So the greatest common factor 25,63,532 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 904/25, 306/63, 506/532?
Answer: LCM of Numerators as per given numbers 904/25, 306/63, 506/532 is
LCM of Numerators i.e. for 904,306,506 is 34992936
GCF of denominators i.e. for 25,63,532 is 1.
Thus, LCM of Fractions is 34992936.Finally, LCM of Fractions for 904/25, 306/63, 506/532 is 34992936.