Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3036/324, 1409/4004 quickly i.e. 1069431 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3036/324, 1409/4004 is 1069431.
LCM(3036/324, 1409/4004) = 1069431
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3036/324,1409/4004
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 3036,1409
Least Common Multiple of Numerators i.e. LCM of 3036,1409 is 4277724.
GCF of Denominators means GCF of 324,4004 as per the given fractions.
GCF of 324,4004 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3036,1409
Given numbers has no common factors except 1. So, there LCM is their product i.e 4277724
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 3036,1409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3036,1409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3036,1409) x common factors =1 x 1 = 1
LCM(3036,1409) = ( 3036 × 1409 ) / 1
LCM(3036,1409) = 4277724 / 1
LCM(3036,1409) = 4277724
Lets's calculate GCF of 324,4004
2 | 324, 4004 |
2 | 162, 2002 |
81, 1001 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4277724/4
Therefore the LCM of Fractions 3036/324,1409/4004 is 1069431
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Factors of 4004
List of positive integer factors of 4004 that divides 4004 without a remainder.
1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004
Greatest Common Factor
We found the factors 324,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 324,4004 is 4.
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 3036/324, 1409/4004?
Answer: LCM of Numerators as per given numbers 3036/324, 1409/4004 is
LCM of Numerators i.e. for 3036,1409 is 4277724
GCF of denominators i.e. for 324,4004 is 4.
Thus, LCM of Fractions is 1069431.Finally, LCM of Fractions for 3036/324, 1409/4004 is 1069431.