Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 332/462, 6002/205 quickly i.e. 996332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 332/462, 6002/205 is 996332.
LCM(332/462, 6002/205) = 996332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 332/462,6002/205
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 332,6002
Least Common Multiple of Numerators i.e. LCM of 332,6002 is 996332.
GCF of Denominators means GCF of 462,205 as per the given fractions.
GCF of 462,205 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 332,6002
2 | 332, 6002 |
166, 3001 |
∴ So the LCM of the given numbers is 2 x 166 x 3001 = 996332
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 332,6002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,6002) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(332,6002) x common factors =2 x 1 = 2
LCM(332,6002) = ( 332 × 6002 ) / 2
LCM(332,6002) = 1992664 / 2
LCM(332,6002) = 996332
Lets's calculate GCF of 462,205
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 996332/1
Therefore the LCM of Fractions 332/462,6002/205 is 996332
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 205
List of positive integer factors of 205 that divides 205 without a remainder.
1,5,41,205
Greatest Common Factor
We found the factors 462,205 . The biggest common factor number is the GCF number.
So the greatest common factor 462,205 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 332/462, 6002/205?
Answer: LCM of Numerators as per given numbers 332/462, 6002/205 is
LCM of Numerators i.e. for 332,6002 is 996332
GCF of denominators i.e. for 462,205 is 1.
Thus, LCM of Fractions is 996332.Finally, LCM of Fractions for 332/462, 6002/205 is 996332.