Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 903/649, 288/314, 943/677 quickly i.e. 81746784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 903/649, 288/314, 943/677 is 81746784.
LCM(903/649, 288/314, 943/677) = 81746784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 903/649,288/314,943/677
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 903,288,943
Least Common Multiple of Numerators i.e. LCM of 903,288,943 is 81746784.
GCF of Denominators means GCF of 649,314,677 as per the given fractions.
GCF of 649,314,677 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 903,288,943
3 | 903, 288, 943 |
301, 96, 943 |
∴ So the LCM of the given numbers is 3 x 301 x 96 x 943 = 81746784
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 903,288,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,288,943) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(903,288,943) x common factors =1 x 3 = 3
LCM(903,288,943) = ( 903 × 288 × 943 ) / 3
LCM(903,288,943) = 245240352 / 3
LCM(903,288,943) = 81746784
Lets's calculate GCF of 649,314,677
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81746784/1
Therefore the LCM of Fractions 903/649,288/314,943/677 is 81746784
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Greatest Common Factor
We found the factors 649,314,677 . The biggest common factor number is the GCF number.
So the greatest common factor 649,314,677 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 903/649, 288/314, 943/677?
Answer: LCM of Numerators as per given numbers 903/649, 288/314, 943/677 is
LCM of Numerators i.e. for 903,288,943 is 81746784
GCF of denominators i.e. for 649,314,677 is 1.
Thus, LCM of Fractions is 81746784.Finally, LCM of Fractions for 903/649, 288/314, 943/677 is 81746784.