Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 503/592, 6882/560 quickly i.e. 3461646/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 503/592, 6882/560 is 3461646/16.
LCM(503/592, 6882/560) = 3461646/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 503/592,6882/560
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 503,6882
Least Common Multiple of Numerators i.e. LCM of 503,6882 is 3461646.
GCF of Denominators means GCF of 592,560 as per the given fractions.
GCF of 592,560 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 503,6882
Given numbers has no common factors except 1. So, there LCM is their product i.e 3461646
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 503,6882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(503,6882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(503,6882) x common factors =1 x 1 = 1
LCM(503,6882) = ( 503 × 6882 ) / 1
LCM(503,6882) = 3461646 / 1
LCM(503,6882) = 3461646
Lets's calculate GCF of 592,560
2 | 592, 560 |
2 | 296, 280 |
2 | 148, 140 |
2 | 74, 70 |
37, 35 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3461646/16
Therefore the LCM of Fractions 503/592,6882/560 is 3461646/16
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 592,560 . The biggest common factor number is the GCF number.
So the greatest common factor 592,560 is 16.
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 503/592, 6882/560?
Answer: LCM of Numerators as per given numbers 503/592, 6882/560 is
LCM of Numerators i.e. for 503,6882 is 3461646
GCF of denominators i.e. for 592,560 is 16.
Thus, LCM of Fractions is 3461646/16.Finally, LCM of Fractions for 503/592, 6882/560 is 3461646/16.