Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/12, 825/96, 384/657 quickly i.e. 1302400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/12, 825/96, 384/657 is 1302400.
LCM(74/12, 825/96, 384/657) = 1302400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/12,825/96,384/657
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 74,825,384
Least Common Multiple of Numerators i.e. LCM of 74,825,384 is 3907200.
GCF of Denominators means GCF of 12,96,657 as per the given fractions.
GCF of 12,96,657 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,825,384
2 | 74, 825, 384 |
3 | 37, 825, 192 |
37, 275, 64 |
∴ So the LCM of the given numbers is 2 x 3 x 37 x 275 x 64 = 3907200
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 74,825,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,825,384) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(74,825,384) x common factors =1 x 6 = 6
LCM(74,825,384) = ( 74 × 825 × 384 ) / 6
LCM(74,825,384) = 23443200 / 6
LCM(74,825,384) = 3907200
Lets's calculate GCF of 12,96,657
3 | 12, 96, 657 |
4, 32, 219 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3907200/3
Therefore the LCM of Fractions 74/12,825/96,384/657 is 1302400
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 12,96,657 . The biggest common factor number is the GCF number.
So the greatest common factor 12,96,657 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 74/12, 825/96, 384/657?
Answer: LCM of Numerators as per given numbers 74/12, 825/96, 384/657 is
LCM of Numerators i.e. for 74,825,384 is 3907200
GCF of denominators i.e. for 12,96,657 is 3.
Thus, LCM of Fractions is 1302400.Finally, LCM of Fractions for 74/12, 825/96, 384/657 is 1302400.