Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 184/141, 685/166, 248/576 quickly i.e. 3907240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 184/141, 685/166, 248/576 is 3907240.
LCM(184/141, 685/166, 248/576) = 3907240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 184/141,685/166,248/576
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 184,685,248
Least Common Multiple of Numerators i.e. LCM of 184,685,248 is 3907240.
GCF of Denominators means GCF of 141,166,576 as per the given fractions.
GCF of 141,166,576 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 184,685,248
2 | 184, 685, 248 |
2 | 92, 685, 124 |
2 | 46, 685, 62 |
23, 685, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 685 x 31 = 3907240
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 184,685,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,685,248) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(184,685,248) x common factors =1 x 8 = 8
LCM(184,685,248) = ( 184 × 685 × 248 ) / 8
LCM(184,685,248) = 31257920 / 8
LCM(184,685,248) = 3907240
Lets's calculate GCF of 141,166,576
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3907240/1
Therefore the LCM of Fractions 184/141,685/166,248/576 is 3907240
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 576
List of positive integer factors of 576 that divides 576 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 141,166,576 . The biggest common factor number is the GCF number.
So the greatest common factor 141,166,576 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 184/141, 685/166, 248/576?
Answer: LCM of Numerators as per given numbers 184/141, 685/166, 248/576 is
LCM of Numerators i.e. for 184,685,248 is 3907240
GCF of denominators i.e. for 141,166,576 is 1.
Thus, LCM of Fractions is 3907240.Finally, LCM of Fractions for 184/141, 685/166, 248/576 is 3907240.