Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 644/741, 555/850, 771/359 quickly i.e. 91856940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 644/741, 555/850, 771/359 is 91856940.
LCM(644/741, 555/850, 771/359) = 91856940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 644/741,555/850,771/359
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 644,555,771
Least Common Multiple of Numerators i.e. LCM of 644,555,771 is 91856940.
GCF of Denominators means GCF of 741,850,359 as per the given fractions.
GCF of 741,850,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 644,555,771
3 | 644, 555, 771 |
644, 185, 257 |
∴ So the LCM of the given numbers is 3 x 644 x 185 x 257 = 91856940
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 644,555,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,555,771) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(644,555,771) x common factors =1 x 3 = 3
LCM(644,555,771) = ( 644 × 555 × 771 ) / 3
LCM(644,555,771) = 275570820 / 3
LCM(644,555,771) = 91856940
Lets's calculate GCF of 741,850,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91856940/1
Therefore the LCM of Fractions 644/741,555/850,771/359 is 91856940
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 741,850,359 . The biggest common factor number is the GCF number.
So the greatest common factor 741,850,359 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 644/741, 555/850, 771/359?
Answer: LCM of Numerators as per given numbers 644/741, 555/850, 771/359 is
LCM of Numerators i.e. for 644,555,771 is 91856940
GCF of denominators i.e. for 741,850,359 is 1.
Thus, LCM of Fractions is 91856940.Finally, LCM of Fractions for 644/741, 555/850, 771/359 is 91856940.