Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 532/560, 9034/491 quickly i.e. 2403044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 532/560, 9034/491 is 2403044.
LCM(532/560, 9034/491) = 2403044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 532/560,9034/491
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 532,9034
Least Common Multiple of Numerators i.e. LCM of 532,9034 is 2403044.
GCF of Denominators means GCF of 560,491 as per the given fractions.
GCF of 560,491 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 532,9034
2 | 532, 9034 |
266, 4517 |
∴ So the LCM of the given numbers is 2 x 266 x 4517 = 2403044
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 532,9034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(532,9034) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(532,9034) x common factors =2 x 1 = 2
LCM(532,9034) = ( 532 × 9034 ) / 2
LCM(532,9034) = 4806088 / 2
LCM(532,9034) = 2403044
Lets's calculate GCF of 560,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2403044/1
Therefore the LCM of Fractions 532/560,9034/491 is 2403044
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
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1,491
Greatest Common Factor
We found the factors 560,491 . The biggest common factor number is the GCF number.
So the greatest common factor 560,491 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 532/560, 9034/491?
Answer: LCM of Numerators as per given numbers 532/560, 9034/491 is
LCM of Numerators i.e. for 532,9034 is 2403044
GCF of denominators i.e. for 560,491 is 1.
Thus, LCM of Fractions is 2403044.Finally, LCM of Fractions for 532/560, 9034/491 is 2403044.