Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 184/247, 719/852, 286/520 quickly i.e. 18918328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 184/247, 719/852, 286/520 is 18918328.
LCM(184/247, 719/852, 286/520) = 18918328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 184/247,719/852,286/520
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 184,719,286
Least Common Multiple of Numerators i.e. LCM of 184,719,286 is 18918328.
GCF of Denominators means GCF of 247,852,520 as per the given fractions.
GCF of 247,852,520 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 184,719,286
2 | 184, 719, 286 |
92, 719, 143 |
∴ So the LCM of the given numbers is 2 x 92 x 719 x 143 = 18918328
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 184,719,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,719,286) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(184,719,286) x common factors =1 x 2 = 2
LCM(184,719,286) = ( 184 × 719 × 286 ) / 2
LCM(184,719,286) = 37836656 / 2
LCM(184,719,286) = 18918328
Lets's calculate GCF of 247,852,520
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18918328/1
Therefore the LCM of Fractions 184/247,719/852,286/520 is 18918328
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Greatest Common Factor
We found the factors 247,852,520 . The biggest common factor number is the GCF number.
So the greatest common factor 247,852,520 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 184/247, 719/852, 286/520?
Answer: LCM of Numerators as per given numbers 184/247, 719/852, 286/520 is
LCM of Numerators i.e. for 184,719,286 is 18918328
GCF of denominators i.e. for 247,852,520 is 1.
Thus, LCM of Fractions is 18918328.Finally, LCM of Fractions for 184/247, 719/852, 286/520 is 18918328.