Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 184/960, 678/103, 373/891 quickly i.e. 23266248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 184/960, 678/103, 373/891 is 23266248.
LCM(184/960, 678/103, 373/891) = 23266248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 184/960,678/103,373/891
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 184,678,373
Least Common Multiple of Numerators i.e. LCM of 184,678,373 is 23266248.
GCF of Denominators means GCF of 960,103,891 as per the given fractions.
GCF of 960,103,891 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 184,678,373
2 | 184, 678, 373 |
92, 339, 373 |
∴ So the LCM of the given numbers is 2 x 92 x 339 x 373 = 23266248
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 184,678,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,678,373) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(184,678,373) x common factors =1 x 2 = 2
LCM(184,678,373) = ( 184 × 678 × 373 ) / 2
LCM(184,678,373) = 46532496 / 2
LCM(184,678,373) = 23266248
Lets's calculate GCF of 960,103,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23266248/1
Therefore the LCM of Fractions 184/960,678/103,373/891 is 23266248
Factors of 960
List of positive integer factors of 960 that divides 960 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Factors of 103
List of positive integer factors of 103 that divides 103 without a remainder.
1,103
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 960,103,891 . The biggest common factor number is the GCF number.
So the greatest common factor 960,103,891 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 184/960, 678/103, 373/891?
Answer: LCM of Numerators as per given numbers 184/960, 678/103, 373/891 is
LCM of Numerators i.e. for 184,678,373 is 23266248
GCF of denominators i.e. for 960,103,891 is 1.
Thus, LCM of Fractions is 23266248.Finally, LCM of Fractions for 184/960, 678/103, 373/891 is 23266248.