Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8214/182, 7637/288 quickly i.e. 31365159 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8214/182, 7637/288 is 31365159.
LCM(8214/182, 7637/288) = 31365159
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8214/182,7637/288
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 8214,7637
Least Common Multiple of Numerators i.e. LCM of 8214,7637 is 62730318.
GCF of Denominators means GCF of 182,288 as per the given fractions.
GCF of 182,288 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8214,7637
Given numbers has no common factors except 1. So, there LCM is their product i.e 62730318
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 8214,7637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8214,7637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8214,7637) x common factors =1 x 1 = 1
LCM(8214,7637) = ( 8214 × 7637 ) / 1
LCM(8214,7637) = 62730318 / 1
LCM(8214,7637) = 62730318
Lets's calculate GCF of 182,288
2 | 182, 288 |
91, 144 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62730318/2
Therefore the LCM of Fractions 8214/182,7637/288 is 31365159
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 288
List of positive integer factors of 288 that divides 288 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288
Greatest Common Factor
We found the factors 182,288 . The biggest common factor number is the GCF number.
So the greatest common factor 182,288 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 8214/182, 7637/288?
Answer: LCM of Numerators as per given numbers 8214/182, 7637/288 is
LCM of Numerators i.e. for 8214,7637 is 62730318
GCF of denominators i.e. for 182,288 is 2.
Thus, LCM of Fractions is 31365159.Finally, LCM of Fractions for 8214/182, 7637/288 is 31365159.