Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 533/997, 694/684, 728/647 quickly i.e. 10357256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 533/997, 694/684, 728/647 is 10357256.
LCM(533/997, 694/684, 728/647) = 10357256
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 533/997,694/684,728/647
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 533,694,728
Least Common Multiple of Numerators i.e. LCM of 533,694,728 is 10357256.
GCF of Denominators means GCF of 997,684,647 as per the given fractions.
GCF of 997,684,647 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 533,694,728
2 | 533, 694, 728 |
13 | 533, 347, 364 |
41, 347, 28 |
∴ So the LCM of the given numbers is 2 x 13 x 41 x 347 x 28 = 10357256
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 533,694,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,694,728) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(533,694,728) x common factors =1 x 26 = 26
LCM(533,694,728) = ( 533 × 694 × 728 ) / 26
LCM(533,694,728) = 269288656 / 26
LCM(533,694,728) = 10357256
Lets's calculate GCF of 997,684,647
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10357256/1
Therefore the LCM of Fractions 533/997,694/684,728/647 is 10357256
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Factors of 647
List of positive integer factors of 647 that divides 647 without a remainder.
1,647
Greatest Common Factor
We found the factors 997,684,647 . The biggest common factor number is the GCF number.
So the greatest common factor 997,684,647 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 533/997, 694/684, 728/647?
Answer: LCM of Numerators as per given numbers 533/997, 694/684, 728/647 is
LCM of Numerators i.e. for 533,694,728 is 10357256
GCF of denominators i.e. for 997,684,647 is 1.
Thus, LCM of Fractions is 10357256.Finally, LCM of Fractions for 533/997, 694/684, 728/647 is 10357256.