Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5244/468, 3453/4140 quickly i.e. 6035844/36 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5244/468, 3453/4140 is 6035844/36.
LCM(5244/468, 3453/4140) = 6035844/36
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5244/468,3453/4140
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 5244,3453
Least Common Multiple of Numerators i.e. LCM of 5244,3453 is 6035844.
GCF of Denominators means GCF of 468,4140 as per the given fractions.
GCF of 468,4140 is 36 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5244,3453
3 | 5244, 3453 |
1748, 1151 |
∴ So the LCM of the given numbers is 3 x 1748 x 1151 = 6035844
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 5244,3453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5244,3453) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(5244,3453) x common factors =3 x 1 = 3
LCM(5244,3453) = ( 5244 × 3453 ) / 3
LCM(5244,3453) = 18107532 / 3
LCM(5244,3453) = 6035844
Lets's calculate GCF of 468,4140
2 | 468, 4140 |
2 | 234, 2070 |
3 | 117, 1035 |
3 | 39, 345 |
13, 115 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6035844/36
Therefore the LCM of Fractions 5244/468,3453/4140 is 6035844/36
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 4140
List of positive integer factors of 4140 that divides 4140 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,23,30,36,45,46,60,69,90,92,115,138,180,207,230,276,345,414,460,690,828,1035,1380,2070,4140
Greatest Common Factor
We found the factors 468,4140 . The biggest common factor number is the GCF number.
So the greatest common factor 468,4140 is 36.
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 5244/468, 3453/4140?
Answer: LCM of Numerators as per given numbers 5244/468, 3453/4140 is
LCM of Numerators i.e. for 5244,3453 is 6035844
GCF of denominators i.e. for 468,4140 is 36.
Thus, LCM of Fractions is 6035844/36.Finally, LCM of Fractions for 5244/468, 3453/4140 is 6035844/36.