Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 844/731, 5120/4697 quickly i.e. 1080320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 844/731, 5120/4697 is 1080320.
LCM(844/731, 5120/4697) = 1080320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 844/731,5120/4697
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 844,5120
Least Common Multiple of Numerators i.e. LCM of 844,5120 is 1080320.
GCF of Denominators means GCF of 731,4697 as per the given fractions.
GCF of 731,4697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 844,5120
2 | 844, 5120 |
2 | 422, 2560 |
211, 1280 |
∴ So the LCM of the given numbers is 2 x 2 x 211 x 1280 = 1080320
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 844,5120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(844,5120) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(844,5120) x common factors =4 x 1 = 4
LCM(844,5120) = ( 844 × 5120 ) / 4
LCM(844,5120) = 4321280 / 4
LCM(844,5120) = 1080320
Lets's calculate GCF of 731,4697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1080320/1
Therefore the LCM of Fractions 844/731,5120/4697 is 1080320
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 4697
List of positive integer factors of 4697 that divides 4697 without a remainder.
1,7,11,61,77,427,671,4697
Greatest Common Factor
We found the factors 731,4697 . The biggest common factor number is the GCF number.
So the greatest common factor 731,4697 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 844/731, 5120/4697?
Answer: LCM of Numerators as per given numbers 844/731, 5120/4697 is
LCM of Numerators i.e. for 844,5120 is 1080320
GCF of denominators i.e. for 731,4697 is 1.
Thus, LCM of Fractions is 1080320.Finally, LCM of Fractions for 844/731, 5120/4697 is 1080320.