Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 366/533, 8805/4550 quickly i.e. 1074210/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 366/533, 8805/4550 is 1074210/13.
LCM(366/533, 8805/4550) = 1074210/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 366/533,8805/4550
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 366,8805
Least Common Multiple of Numerators i.e. LCM of 366,8805 is 1074210.
GCF of Denominators means GCF of 533,4550 as per the given fractions.
GCF of 533,4550 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 366,8805
3 | 366, 8805 |
122, 2935 |
∴ So the LCM of the given numbers is 3 x 122 x 2935 = 1074210
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 366,8805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,8805) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(366,8805) x common factors =3 x 1 = 3
LCM(366,8805) = ( 366 × 8805 ) / 3
LCM(366,8805) = 3222630 / 3
LCM(366,8805) = 1074210
Lets's calculate GCF of 533,4550
13 | 533, 4550 |
41, 350 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1074210/13
Therefore the LCM of Fractions 366/533,8805/4550 is 1074210/13
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 4550
List of positive integer factors of 4550 that divides 4550 without a remainder.
1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550
Greatest Common Factor
We found the factors 533,4550 . The biggest common factor number is the GCF number.
So the greatest common factor 533,4550 is 13.
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 366/533, 8805/4550?
Answer: LCM of Numerators as per given numbers 366/533, 8805/4550 is
LCM of Numerators i.e. for 366,8805 is 1074210
GCF of denominators i.e. for 533,4550 is 13.
Thus, LCM of Fractions is 1074210/13.Finally, LCM of Fractions for 366/533, 8805/4550 is 1074210/13.