Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/480, 34/561, 477/797 quickly i.e. 502758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/480, 34/561, 477/797 is 502758.
LCM(62/480, 34/561, 477/797) = 502758
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/480,34/561,477/797
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 62,34,477
Least Common Multiple of Numerators i.e. LCM of 62,34,477 is 502758.
GCF of Denominators means GCF of 480,561,797 as per the given fractions.
GCF of 480,561,797 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,34,477
2 | 62, 34, 477 |
31, 17, 477 |
∴ So the LCM of the given numbers is 2 x 31 x 17 x 477 = 502758
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 62,34,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,34,477) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,34,477) x common factors =1 x 2 = 2
LCM(62,34,477) = ( 62 × 34 × 477 ) / 2
LCM(62,34,477) = 1005516 / 2
LCM(62,34,477) = 502758
Lets's calculate GCF of 480,561,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 502758/1
Therefore the LCM of Fractions 62/480,34/561,477/797 is 502758
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 480,561,797 . The biggest common factor number is the GCF number.
So the greatest common factor 480,561,797 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 62/480, 34/561, 477/797?
Answer: LCM of Numerators as per given numbers 62/480, 34/561, 477/797 is
LCM of Numerators i.e. for 62,34,477 is 502758
GCF of denominators i.e. for 480,561,797 is 1.
Thus, LCM of Fractions is 502758.Finally, LCM of Fractions for 62/480, 34/561, 477/797 is 502758.