Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 884/953, 330/881, 559/644 quickly i.e. 6271980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 884/953, 330/881, 559/644 is 6271980.
LCM(884/953, 330/881, 559/644) = 6271980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 884/953,330/881,559/644
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 884,330,559
Least Common Multiple of Numerators i.e. LCM of 884,330,559 is 6271980.
GCF of Denominators means GCF of 953,881,644 as per the given fractions.
GCF of 953,881,644 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 884,330,559
2 | 884, 330, 559 |
13 | 442, 165, 559 |
34, 165, 43 |
∴ So the LCM of the given numbers is 2 x 13 x 34 x 165 x 43 = 6271980
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 884,330,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,330,559) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(884,330,559) x common factors =1 x 26 = 26
LCM(884,330,559) = ( 884 × 330 × 559 ) / 26
LCM(884,330,559) = 163071480 / 26
LCM(884,330,559) = 6271980
Lets's calculate GCF of 953,881,644
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6271980/1
Therefore the LCM of Fractions 884/953,330/881,559/644 is 6271980
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 953,881,644 . The biggest common factor number is the GCF number.
So the greatest common factor 953,881,644 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 884/953, 330/881, 559/644?
Answer: LCM of Numerators as per given numbers 884/953, 330/881, 559/644 is
LCM of Numerators i.e. for 884,330,559 is 6271980
GCF of denominators i.e. for 953,881,644 is 1.
Thus, LCM of Fractions is 6271980.Finally, LCM of Fractions for 884/953, 330/881, 559/644 is 6271980.