Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 926/12, 176/40, 666/638 quickly i.e. 13567752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 926/12, 176/40, 666/638 is 13567752.
LCM(926/12, 176/40, 666/638) = 13567752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 926/12,176/40,666/638
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 926,176,666
Least Common Multiple of Numerators i.e. LCM of 926,176,666 is 27135504.
GCF of Denominators means GCF of 12,40,638 as per the given fractions.
GCF of 12,40,638 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 926,176,666
2 | 926, 176, 666 |
463, 88, 333 |
∴ So the LCM of the given numbers is 2 x 463 x 88 x 333 = 27135504
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 926,176,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,176,666) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(926,176,666) x common factors =2 x 2 = 4
LCM(926,176,666) = ( 926 × 176 × 666 ) / 4
LCM(926,176,666) = 108542016 / 4
LCM(926,176,666) = 27135504
Lets's calculate GCF of 12,40,638
2 | 12, 40, 638 |
6, 20, 319 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27135504/2
Therefore the LCM of Fractions 926/12,176/40,666/638 is 13567752
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 12,40,638 . The biggest common factor number is the GCF number.
So the greatest common factor 12,40,638 is 2.
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 926/12, 176/40, 666/638?
Answer: LCM of Numerators as per given numbers 926/12, 176/40, 666/638 is
LCM of Numerators i.e. for 926,176,666 is 27135504
GCF of denominators i.e. for 12,40,638 is 2.
Thus, LCM of Fractions is 13567752.Finally, LCM of Fractions for 926/12, 176/40, 666/638 is 13567752.