Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 324/628, 3392/4552 quickly i.e. 68688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 324/628, 3392/4552 is 68688.
LCM(324/628, 3392/4552) = 68688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 324/628,3392/4552
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 324,3392
Least Common Multiple of Numerators i.e. LCM of 324,3392 is 274752.
GCF of Denominators means GCF of 628,4552 as per the given fractions.
GCF of 628,4552 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 324,3392
2 | 324, 3392 |
2 | 162, 1696 |
81, 848 |
∴ So the LCM of the given numbers is 2 x 2 x 81 x 848 = 274752
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 324,3392 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,3392) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(324,3392) x common factors =4 x 1 = 4
LCM(324,3392) = ( 324 × 3392 ) / 4
LCM(324,3392) = 1099008 / 4
LCM(324,3392) = 274752
Lets's calculate GCF of 628,4552
2 | 628, 4552 |
2 | 314, 2276 |
157, 1138 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274752/4
Therefore the LCM of Fractions 324/628,3392/4552 is 68688
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Factors of 4552
List of positive integer factors of 4552 that divides 4552 without a remainder.
1,2,4,8,569,1138,2276,4552
Greatest Common Factor
We found the factors 628,4552 . The biggest common factor number is the GCF number.
So the greatest common factor 628,4552 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 324/628, 3392/4552?
Answer: LCM of Numerators as per given numbers 324/628, 3392/4552 is
LCM of Numerators i.e. for 324,3392 is 274752
GCF of denominators i.e. for 628,4552 is 4.
Thus, LCM of Fractions is 68688.Finally, LCM of Fractions for 324/628, 3392/4552 is 68688.