Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/181, 590/799, 301/261 quickly i.e. 3906980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/181, 590/799, 301/261 is 3906980.
LCM(44/181, 590/799, 301/261) = 3906980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/181,590/799,301/261
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 44,590,301
Least Common Multiple of Numerators i.e. LCM of 44,590,301 is 3906980.
GCF of Denominators means GCF of 181,799,261 as per the given fractions.
GCF of 181,799,261 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,590,301
2 | 44, 590, 301 |
22, 295, 301 |
∴ So the LCM of the given numbers is 2 x 22 x 295 x 301 = 3906980
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 44,590,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,590,301) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(44,590,301) x common factors =1 x 2 = 2
LCM(44,590,301) = ( 44 × 590 × 301 ) / 2
LCM(44,590,301) = 7813960 / 2
LCM(44,590,301) = 3906980
Lets's calculate GCF of 181,799,261
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3906980/1
Therefore the LCM of Fractions 44/181,590/799,301/261 is 3906980
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Factors of 261
List of positive integer factors of 261 that divides 261 without a remainder.
1,3,9,29,87,261
Greatest Common Factor
We found the factors 181,799,261 . The biggest common factor number is the GCF number.
So the greatest common factor 181,799,261 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 44/181, 590/799, 301/261?
Answer: LCM of Numerators as per given numbers 44/181, 590/799, 301/261 is
LCM of Numerators i.e. for 44,590,301 is 3906980
GCF of denominators i.e. for 181,799,261 is 1.
Thus, LCM of Fractions is 3906980.Finally, LCM of Fractions for 44/181, 590/799, 301/261 is 3906980.