Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/47, 687/3162 quickly i.e. 330447 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/47, 687/3162 is 330447.
LCM(481/47, 687/3162) = 330447
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/47,687/3162
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 481,687
Least Common Multiple of Numerators i.e. LCM of 481,687 is 330447.
GCF of Denominators means GCF of 47,3162 as per the given fractions.
GCF of 47,3162 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 330447
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 481,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,687) x common factors =1 x 1 = 1
LCM(481,687) = ( 481 × 687 ) / 1
LCM(481,687) = 330447 / 1
LCM(481,687) = 330447
Lets's calculate GCF of 47,3162
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330447/1
Therefore the LCM of Fractions 481/47,687/3162 is 330447
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 3162
List of positive integer factors of 3162 that divides 3162 without a remainder.
1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Greatest Common Factor
We found the factors 47,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 47,3162 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 481/47, 687/3162?
Answer: LCM of Numerators as per given numbers 481/47, 687/3162 is
LCM of Numerators i.e. for 481,687 is 330447
GCF of denominators i.e. for 47,3162 is 1.
Thus, LCM of Fractions is 330447.Finally, LCM of Fractions for 481/47, 687/3162 is 330447.