Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 323/924, 4882/6544 quickly i.e. 1576886/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 323/924, 4882/6544 is 1576886/4.
LCM(323/924, 4882/6544) = 1576886/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 323/924,4882/6544
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 323,4882
Least Common Multiple of Numerators i.e. LCM of 323,4882 is 1576886.
GCF of Denominators means GCF of 924,6544 as per the given fractions.
GCF of 924,6544 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 323,4882
Given numbers has no common factors except 1. So, there LCM is their product i.e 1576886
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 323,4882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,4882) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,4882) x common factors =1 x 1 = 1
LCM(323,4882) = ( 323 × 4882 ) / 1
LCM(323,4882) = 1576886 / 1
LCM(323,4882) = 1576886
Lets's calculate GCF of 924,6544
2 | 924, 6544 |
2 | 462, 3272 |
231, 1636 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1576886/4
Therefore the LCM of Fractions 323/924,4882/6544 is 1576886/4
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Factors of 6544
List of positive integer factors of 6544 that divides 6544 without a remainder.
1,2,4,8,16,409,818,1636,3272,6544
Greatest Common Factor
We found the factors 924,6544 . The biggest common factor number is the GCF number.
So the greatest common factor 924,6544 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 323/924, 4882/6544?
Answer: LCM of Numerators as per given numbers 323/924, 4882/6544 is
LCM of Numerators i.e. for 323,4882 is 1576886
GCF of denominators i.e. for 924,6544 is 4.
Thus, LCM of Fractions is 1576886/4.Finally, LCM of Fractions for 323/924, 4882/6544 is 1576886/4.