Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5530/324, 1057/3003 quickly i.e. 835030/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5530/324, 1057/3003 is 835030/3.
LCM(5530/324, 1057/3003) = 835030/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5530/324,1057/3003
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 5530,1057
Least Common Multiple of Numerators i.e. LCM of 5530,1057 is 835030.
GCF of Denominators means GCF of 324,3003 as per the given fractions.
GCF of 324,3003 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5530,1057
7 | 5530, 1057 |
790, 151 |
∴ So the LCM of the given numbers is 7 x 790 x 151 = 835030
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 5530,1057 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5530,1057) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(5530,1057) x common factors =7 x 1 = 7
LCM(5530,1057) = ( 5530 × 1057 ) / 7
LCM(5530,1057) = 5845210 / 7
LCM(5530,1057) = 835030
Lets's calculate GCF of 324,3003
3 | 324, 3003 |
108, 1001 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 835030/3
Therefore the LCM of Fractions 5530/324,1057/3003 is 835030/3
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 3003
List of positive integer factors of 3003 that divides 3003 without a remainder.
1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Greatest Common Factor
We found the factors 324,3003 . The biggest common factor number is the GCF number.
So the greatest common factor 324,3003 is 3.
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 5530/324, 1057/3003?
Answer: LCM of Numerators as per given numbers 5530/324, 1057/3003 is
LCM of Numerators i.e. for 5530,1057 is 835030
GCF of denominators i.e. for 324,3003 is 3.
Thus, LCM of Fractions is 835030/3.Finally, LCM of Fractions for 5530/324, 1057/3003 is 835030/3.