Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/592, 486/525, 781/884 quickly i.e. 18598734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/592, 486/525, 781/884 is 18598734.
LCM(49/592, 486/525, 781/884) = 18598734
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/592,486/525,781/884
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 49,486,781
Least Common Multiple of Numerators i.e. LCM of 49,486,781 is 18598734.
GCF of Denominators means GCF of 592,525,884 as per the given fractions.
GCF of 592,525,884 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,486,781
Given numbers has no common factors except 1. So, there LCM is their product i.e 18598734
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 49,486,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,486,781) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,486,781) x common factors =1 x 1 = 1
LCM(49,486,781) = ( 49 × 486 × 781 ) / 1
LCM(49,486,781) = 18598734 / 1
LCM(49,486,781) = 18598734
Lets's calculate GCF of 592,525,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18598734/1
Therefore the LCM of Fractions 49/592,486/525,781/884 is 18598734
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 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 592,525,884 . The biggest common factor number is the GCF number.
So the greatest common factor 592,525,884 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 49/592, 486/525, 781/884?
Answer: LCM of Numerators as per given numbers 49/592, 486/525, 781/884 is
LCM of Numerators i.e. for 49,486,781 is 18598734
GCF of denominators i.e. for 592,525,884 is 1.
Thus, LCM of Fractions is 18598734.Finally, LCM of Fractions for 49/592, 486/525, 781/884 is 18598734.