Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3924/462, 5885/4527 quickly i.e. 7697580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3924/462, 5885/4527 is 7697580.
LCM(3924/462, 5885/4527) = 7697580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3924/462,5885/4527
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 3924,5885
Least Common Multiple of Numerators i.e. LCM of 3924,5885 is 23092740.
GCF of Denominators means GCF of 462,4527 as per the given fractions.
GCF of 462,4527 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3924,5885
Given numbers has no common factors except 1. So, there LCM is their product i.e 23092740
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 3924,5885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3924,5885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3924,5885) x common factors =1 x 1 = 1
LCM(3924,5885) = ( 3924 × 5885 ) / 1
LCM(3924,5885) = 23092740 / 1
LCM(3924,5885) = 23092740
Lets's calculate GCF of 462,4527
3 | 462, 4527 |
154, 1509 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23092740/3
Therefore the LCM of Fractions 3924/462,5885/4527 is 7697580
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 4527
List of positive integer factors of 4527 that divides 4527 without a remainder.
1,3,9,503,1509,4527
Greatest Common Factor
We found the factors 462,4527 . The biggest common factor number is the GCF number.
So the greatest common factor 462,4527 is 3.
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 3924/462, 5885/4527?
Answer: LCM of Numerators as per given numbers 3924/462, 5885/4527 is
LCM of Numerators i.e. for 3924,5885 is 23092740
GCF of denominators i.e. for 462,4527 is 3.
Thus, LCM of Fractions is 7697580.Finally, LCM of Fractions for 3924/462, 5885/4527 is 7697580.