Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 612/759, 3924/4456 quickly i.e. 66708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 612/759, 3924/4456 is 66708.
LCM(612/759, 3924/4456) = 66708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 612/759,3924/4456
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 612,3924
Least Common Multiple of Numerators i.e. LCM of 612,3924 is 66708.
GCF of Denominators means GCF of 759,4456 as per the given fractions.
GCF of 759,4456 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 612,3924
2 | 612, 3924 |
2 | 306, 1962 |
3 | 153, 981 |
3 | 51, 327 |
17, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 109 = 66708
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 612,3924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,3924) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(612,3924) x common factors =36 x 1 = 36
LCM(612,3924) = ( 612 × 3924 ) / 36
LCM(612,3924) = 2401488 / 36
LCM(612,3924) = 66708
Lets's calculate GCF of 759,4456
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66708/1
Therefore the LCM of Fractions 612/759,3924/4456 is 66708
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Factors of 4456
List of positive integer factors of 4456 that divides 4456 without a remainder.
1,2,4,8,557,1114,2228,4456
Greatest Common Factor
We found the factors 759,4456 . The biggest common factor number is the GCF number.
So the greatest common factor 759,4456 is 1.
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 612/759, 3924/4456?
Answer: LCM of Numerators as per given numbers 612/759, 3924/4456 is
LCM of Numerators i.e. for 612,3924 is 66708
GCF of denominators i.e. for 759,4456 is 1.
Thus, LCM of Fractions is 66708.Finally, LCM of Fractions for 612/759, 3924/4456 is 66708.