Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 176/12, 876/66, 623/436 quickly i.e. 12006456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 176/12, 876/66, 623/436 is 12006456.
LCM(176/12, 876/66, 623/436) = 12006456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 176/12,876/66,623/436
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 176,876,623
Least Common Multiple of Numerators i.e. LCM of 176,876,623 is 24012912.
GCF of Denominators means GCF of 12,66,436 as per the given fractions.
GCF of 12,66,436 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 176,876,623
2 | 176, 876, 623 |
2 | 88, 438, 623 |
44, 219, 623 |
∴ So the LCM of the given numbers is 2 x 2 x 44 x 219 x 623 = 24012912
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 176,876,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,876,623) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(176,876,623) x common factors =1 x 4 = 4
LCM(176,876,623) = ( 176 × 876 × 623 ) / 4
LCM(176,876,623) = 96051648 / 4
LCM(176,876,623) = 24012912
Lets's calculate GCF of 12,66,436
2 | 12, 66, 436 |
6, 33, 218 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24012912/2
Therefore the LCM of Fractions 176/12,876/66,623/436 is 12006456
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Greatest Common Factor
We found the factors 12,66,436 . The biggest common factor number is the GCF number.
So the greatest common factor 12,66,436 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 176/12, 876/66, 623/436?
Answer: LCM of Numerators as per given numbers 176/12, 876/66, 623/436 is
LCM of Numerators i.e. for 176,876,623 is 24012912
GCF of denominators i.e. for 12,66,436 is 2.
Thus, LCM of Fractions is 12006456.Finally, LCM of Fractions for 176/12, 876/66, 623/436 is 12006456.