Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/25, 37/619, 67/184 quickly i.e. 19832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/25, 37/619, 67/184 is 19832.
LCM(8/25, 37/619, 67/184) = 19832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/25,37/619,67/184
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 8,37,67
Least Common Multiple of Numerators i.e. LCM of 8,37,67 is 19832.
GCF of Denominators means GCF of 25,619,184 as per the given fractions.
GCF of 25,619,184 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,37,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 19832
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 8,37,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,37,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,37,67) x common factors =1 x 1 = 1
LCM(8,37,67) = ( 8 × 37 × 67 ) / 1
LCM(8,37,67) = 19832 / 1
LCM(8,37,67) = 19832
Lets's calculate GCF of 25,619,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19832/1
Therefore the LCM of Fractions 8/25,37/619,67/184 is 19832
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 619
List of positive integer factors of 619 that divides 619 without a remainder.
1,619
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 25,619,184 . The biggest common factor number is the GCF number.
So the greatest common factor 25,619,184 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 8/25, 37/619, 67/184?
Answer: LCM of Numerators as per given numbers 8/25, 37/619, 67/184 is
LCM of Numerators i.e. for 8,37,67 is 19832
GCF of denominators i.e. for 25,619,184 is 1.
Thus, LCM of Fractions is 19832.Finally, LCM of Fractions for 8/25, 37/619, 67/184 is 19832.