Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/439, 82/540, 332/913 quickly i.e. 299464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/439, 82/540, 332/913 is 299464.
LCM(88/439, 82/540, 332/913) = 299464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/439,82/540,332/913
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 88,82,332
Least Common Multiple of Numerators i.e. LCM of 88,82,332 is 299464.
GCF of Denominators means GCF of 439,540,913 as per the given fractions.
GCF of 439,540,913 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,82,332
2 | 88, 82, 332 |
2 | 44, 41, 166 |
22, 41, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 41 x 83 = 299464
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 88,82,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,82,332) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(88,82,332) x common factors =2 x 4 = 8
LCM(88,82,332) = ( 88 × 82 × 332 ) / 8
LCM(88,82,332) = 2395712 / 8
LCM(88,82,332) = 299464
Lets's calculate GCF of 439,540,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299464/1
Therefore the LCM of Fractions 88/439,82/540,332/913 is 299464
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 439,540,913 . The biggest common factor number is the GCF number.
So the greatest common factor 439,540,913 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 88/439, 82/540, 332/913?
Answer: LCM of Numerators as per given numbers 88/439, 82/540, 332/913 is
LCM of Numerators i.e. for 88,82,332 is 299464
GCF of denominators i.e. for 439,540,913 is 1.
Thus, LCM of Fractions is 299464.Finally, LCM of Fractions for 88/439, 82/540, 332/913 is 299464.