Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/24, 827/98, 287/579 quickly i.e. 20886712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/24, 827/98, 287/579 is 20886712.
LCM(88/24, 827/98, 287/579) = 20886712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/24,827/98,287/579
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 88,827,287
Least Common Multiple of Numerators i.e. LCM of 88,827,287 is 20886712.
GCF of Denominators means GCF of 24,98,579 as per the given fractions.
GCF of 24,98,579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,827,287
Given numbers has no common factors except 1. So, there LCM is their product i.e 20886712
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 88,827,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,827,287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,827,287) x common factors =1 x 1 = 1
LCM(88,827,287) = ( 88 × 827 × 287 ) / 1
LCM(88,827,287) = 20886712 / 1
LCM(88,827,287) = 20886712
Lets's calculate GCF of 24,98,579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20886712/1
Therefore the LCM of Fractions 88/24,827/98,287/579 is 20886712
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Greatest Common Factor
We found the factors 24,98,579 . The biggest common factor number is the GCF number.
So the greatest common factor 24,98,579 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 88/24, 827/98, 287/579?
Answer: LCM of Numerators as per given numbers 88/24, 827/98, 287/579 is
LCM of Numerators i.e. for 88,827,287 is 20886712
GCF of denominators i.e. for 24,98,579 is 1.
Thus, LCM of Fractions is 20886712.Finally, LCM of Fractions for 88/24, 827/98, 287/579 is 20886712.