Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 112/662, 483/660 quickly i.e. 3864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 112/662, 483/660 is 3864.
LCM(112/662, 483/660) = 3864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 112/662,483/660
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 112,483
Least Common Multiple of Numerators i.e. LCM of 112,483 is 7728.
GCF of Denominators means GCF of 662,660 as per the given fractions.
GCF of 662,660 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 112,483
7 | 112, 483 |
16, 69 |
∴ So the LCM of the given numbers is 7 x 16 x 69 = 7728
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 112,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(112,483) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(112,483) x common factors =7 x 1 = 7
LCM(112,483) = ( 112 × 483 ) / 7
LCM(112,483) = 54096 / 7
LCM(112,483) = 7728
Lets's calculate GCF of 662,660
2 | 662, 660 |
331, 330 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7728/2
Therefore the LCM of Fractions 112/662,483/660 is 3864
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Greatest Common Factor
We found the factors 662,660 . The biggest common factor number is the GCF number.
So the greatest common factor 662,660 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 112/662, 483/660?
Answer: LCM of Numerators as per given numbers 112/662, 483/660 is
LCM of Numerators i.e. for 112,483 is 7728
GCF of denominators i.e. for 662,660 is 2.
Thus, LCM of Fractions is 3864.Finally, LCM of Fractions for 112/662, 483/660 is 3864.