Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/294, 41/437, 186/797 quickly i.e. 221154 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/294, 41/437, 186/797 is 221154.
LCM(87/294, 41/437, 186/797) = 221154
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/294,41/437,186/797
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 87,41,186
Least Common Multiple of Numerators i.e. LCM of 87,41,186 is 221154.
GCF of Denominators means GCF of 294,437,797 as per the given fractions.
GCF of 294,437,797 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,41,186
3 | 87, 41, 186 |
29, 41, 62 |
∴ So the LCM of the given numbers is 3 x 29 x 41 x 62 = 221154
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 87,41,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,41,186) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,41,186) x common factors =1 x 3 = 3
LCM(87,41,186) = ( 87 × 41 × 186 ) / 3
LCM(87,41,186) = 663462 / 3
LCM(87,41,186) = 221154
Lets's calculate GCF of 294,437,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221154/1
Therefore the LCM of Fractions 87/294,41/437,186/797 is 221154
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 797
List of positive integer factors of 797 that divides 797 without a remainder.
1,797
Greatest Common Factor
We found the factors 294,437,797 . The biggest common factor number is the GCF number.
So the greatest common factor 294,437,797 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 87/294, 41/437, 186/797?
Answer: LCM of Numerators as per given numbers 87/294, 41/437, 186/797 is
LCM of Numerators i.e. for 87,41,186 is 221154
GCF of denominators i.e. for 294,437,797 is 1.
Thus, LCM of Fractions is 221154.Finally, LCM of Fractions for 87/294, 41/437, 186/797 is 221154.