Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4026/642, 9642/256 quickly i.e. 3234891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4026/642, 9642/256 is 3234891.
LCM(4026/642, 9642/256) = 3234891
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4026/642,9642/256
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 4026,9642
Least Common Multiple of Numerators i.e. LCM of 4026,9642 is 6469782.
GCF of Denominators means GCF of 642,256 as per the given fractions.
GCF of 642,256 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4026,9642
2 | 4026, 9642 |
3 | 2013, 4821 |
671, 1607 |
∴ So the LCM of the given numbers is 2 x 3 x 671 x 1607 = 6469782
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 4026,9642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4026,9642) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(4026,9642) x common factors =6 x 1 = 6
LCM(4026,9642) = ( 4026 × 9642 ) / 6
LCM(4026,9642) = 38818692 / 6
LCM(4026,9642) = 6469782
Lets's calculate GCF of 642,256
2 | 642, 256 |
321, 128 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6469782/2
Therefore the LCM of Fractions 4026/642,9642/256 is 3234891
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 642,256 . The biggest common factor number is the GCF number.
So the greatest common factor 642,256 is 2.
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 4026/642, 9642/256?
Answer: LCM of Numerators as per given numbers 4026/642, 9642/256 is
LCM of Numerators i.e. for 4026,9642 is 6469782
GCF of denominators i.e. for 642,256 is 2.
Thus, LCM of Fractions is 3234891.Finally, LCM of Fractions for 4026/642, 9642/256 is 3234891.