Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 483/520, 266/205, 608/274 quickly i.e. 293664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 483/520, 266/205, 608/274 is 293664.
LCM(483/520, 266/205, 608/274) = 293664
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 483/520,266/205,608/274
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 483,266,608
Least Common Multiple of Numerators i.e. LCM of 483,266,608 is 293664.
GCF of Denominators means GCF of 520,205,274 as per the given fractions.
GCF of 520,205,274 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 483,266,608
2 | 483, 266, 608 |
7 | 483, 133, 304 |
19 | 69, 19, 304 |
69, 1, 16 |
∴ So the LCM of the given numbers is 2 x 7 x 19 x 69 x 1 x 16 = 293664
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 483,266,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,266,608) = 1
common factors(in case of two or more numbers have common factors) = 266
GCF(483,266,608) x common factors =1 x 266 = 266
LCM(483,266,608) = ( 483 × 266 × 608 ) / 266
LCM(483,266,608) = 78114624 / 266
LCM(483,266,608) = 293664
Lets's calculate GCF of 520,205,274
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293664/1
Therefore the LCM of Fractions 483/520,266/205,608/274 is 293664
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Factors of 274
List of positive integer factors of 274 that divides 274 without a remainder.
1,2,137,274
Greatest Common Factor
We found the factors 520,205,274 . The biggest common factor number is the GCF number.
So the greatest common factor 520,205,274 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 483/520, 266/205, 608/274?
Answer: LCM of Numerators as per given numbers 483/520, 266/205, 608/274 is
LCM of Numerators i.e. for 483,266,608 is 293664
GCF of denominators i.e. for 520,205,274 is 1.
Thus, LCM of Fractions is 293664.Finally, LCM of Fractions for 483/520, 266/205, 608/274 is 293664.