Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1427/885, 3964/518 quickly i.e. 5656628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1427/885, 3964/518 is 5656628.
LCM(1427/885, 3964/518) = 5656628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1427/885,3964/518
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 1427,3964
Least Common Multiple of Numerators i.e. LCM of 1427,3964 is 5656628.
GCF of Denominators means GCF of 885,518 as per the given fractions.
GCF of 885,518 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1427,3964
Given numbers has no common factors except 1. So, there LCM is their product i.e 5656628
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 1427,3964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1427,3964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1427,3964) x common factors =1 x 1 = 1
LCM(1427,3964) = ( 1427 × 3964 ) / 1
LCM(1427,3964) = 5656628 / 1
LCM(1427,3964) = 5656628
Lets's calculate GCF of 885,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5656628/1
Therefore the LCM of Fractions 1427/885,3964/518 is 5656628
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 885,518 . The biggest common factor number is the GCF number.
So the greatest common factor 885,518 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 1427/885, 3964/518?
Answer: LCM of Numerators as per given numbers 1427/885, 3964/518 is
LCM of Numerators i.e. for 1427,3964 is 5656628
GCF of denominators i.e. for 885,518 is 1.
Thus, LCM of Fractions is 5656628.Finally, LCM of Fractions for 1427/885, 3964/518 is 5656628.