Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/184, 721/152, 263/184 quickly i.e. 5499067/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/184, 721/152, 263/184 is 5499067/8.
LCM(29/184, 721/152, 263/184) = 5499067/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/184,721/152,263/184
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 29,721,263
Least Common Multiple of Numerators i.e. LCM of 29,721,263 is 5499067.
GCF of Denominators means GCF of 184,152,184 as per the given fractions.
GCF of 184,152,184 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,721,263
Given numbers has no common factors except 1. So, there LCM is their product i.e 5499067
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 29,721,263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,721,263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,721,263) x common factors =1 x 1 = 1
LCM(29,721,263) = ( 29 × 721 × 263 ) / 1
LCM(29,721,263) = 5499067 / 1
LCM(29,721,263) = 5499067
Lets's calculate GCF of 184,152,184
2 | 184, 152, 184 |
2 | 92, 76, 92 |
2 | 46, 38, 46 |
23, 19, 23 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5499067/8
Therefore the LCM of Fractions 29/184,721/152,263/184 is 5499067/8
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
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 184,152,184 . The biggest common factor number is the GCF number.
So the greatest common factor 184,152,184 is 8.
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 29/184, 721/152, 263/184?
Answer: LCM of Numerators as per given numbers 29/184, 721/152, 263/184 is
LCM of Numerators i.e. for 29,721,263 is 5499067
GCF of denominators i.e. for 184,152,184 is 8.
Thus, LCM of Fractions is 5499067/8.Finally, LCM of Fractions for 29/184, 721/152, 263/184 is 5499067/8.