Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 706/44, 472/6108 quickly i.e. 41654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 706/44, 472/6108 is 41654.
LCM(706/44, 472/6108) = 41654
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 706/44,472/6108
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 706,472
Least Common Multiple of Numerators i.e. LCM of 706,472 is 166616.
GCF of Denominators means GCF of 44,6108 as per the given fractions.
GCF of 44,6108 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 706,472
2 | 706, 472 |
353, 236 |
∴ So the LCM of the given numbers is 2 x 353 x 236 = 166616
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 706,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,472) x common factors =2 x 1 = 2
LCM(706,472) = ( 706 × 472 ) / 2
LCM(706,472) = 333232 / 2
LCM(706,472) = 166616
Lets's calculate GCF of 44,6108
2 | 44, 6108 |
2 | 22, 3054 |
11, 1527 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166616/4
Therefore the LCM of Fractions 706/44,472/6108 is 41654
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 6108
List of positive integer factors of 6108 that divides 6108 without a remainder.
1,2,3,4,6,12,509,1018,1527,2036,3054,6108
Greatest Common Factor
We found the factors 44,6108 . The biggest common factor number is the GCF number.
So the greatest common factor 44,6108 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 706/44, 472/6108?
Answer: LCM of Numerators as per given numbers 706/44, 472/6108 is
LCM of Numerators i.e. for 706,472 is 166616
GCF of denominators i.e. for 44,6108 is 4.
Thus, LCM of Fractions is 41654.Finally, LCM of Fractions for 706/44, 472/6108 is 41654.