Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4402/640, 3834/444 quickly i.e. 118854/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4402/640, 3834/444 is 118854/4.
LCM(4402/640, 3834/444) = 118854/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4402/640,3834/444
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 4402,3834
Least Common Multiple of Numerators i.e. LCM of 4402,3834 is 118854.
GCF of Denominators means GCF of 640,444 as per the given fractions.
GCF of 640,444 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4402,3834
2 | 4402, 3834 |
71 | 2201, 1917 |
31, 27 |
∴ So the LCM of the given numbers is 2 x 71 x 31 x 27 = 118854
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 4402,3834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4402,3834) = 142
common factors(in case of two or more numbers have common factors) = 1
GCF(4402,3834) x common factors =142 x 1 = 142
LCM(4402,3834) = ( 4402 × 3834 ) / 142
LCM(4402,3834) = 16877268 / 142
LCM(4402,3834) = 118854
Lets's calculate GCF of 640,444
2 | 640, 444 |
2 | 320, 222 |
160, 111 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118854/4
Therefore the LCM of Fractions 4402/640,3834/444 is 118854/4
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 640,444 . The biggest common factor number is the GCF number.
So the greatest common factor 640,444 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 4402/640, 3834/444?
Answer: LCM of Numerators as per given numbers 4402/640, 3834/444 is
LCM of Numerators i.e. for 4402,3834 is 118854
GCF of denominators i.e. for 640,444 is 4.
Thus, LCM of Fractions is 118854/4.Finally, LCM of Fractions for 4402/640, 3834/444 is 118854/4.