Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/488, 69/996, 992/482 quickly i.e. 171120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/488, 69/996, 992/482 is 171120.
LCM(20/488, 69/996, 992/482) = 171120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/488,69/996,992/482
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 20,69,992
Least Common Multiple of Numerators i.e. LCM of 20,69,992 is 342240.
GCF of Denominators means GCF of 488,996,482 as per the given fractions.
GCF of 488,996,482 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,69,992
2 | 20, 69, 992 |
2 | 10, 69, 496 |
5, 69, 248 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 69 x 248 = 342240
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 20,69,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,69,992) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(20,69,992) x common factors =1 x 4 = 4
LCM(20,69,992) = ( 20 × 69 × 992 ) / 4
LCM(20,69,992) = 1368960 / 4
LCM(20,69,992) = 342240
Lets's calculate GCF of 488,996,482
2 | 488, 996, 482 |
244, 498, 241 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 342240/2
Therefore the LCM of Fractions 20/488,69/996,992/482 is 171120
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 996
List of positive integer factors of 996 that divides 996 without a remainder.
1,2,3,4,6,12,83,166,249,332,498,996
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 488,996,482 . The biggest common factor number is the GCF number.
So the greatest common factor 488,996,482 is 2.
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 20/488, 69/996, 992/482?
Answer: LCM of Numerators as per given numbers 20/488, 69/996, 992/482 is
LCM of Numerators i.e. for 20,69,992 is 342240
GCF of denominators i.e. for 488,996,482 is 2.
Thus, LCM of Fractions is 171120.Finally, LCM of Fractions for 20/488, 69/996, 992/482 is 171120.