Least Common Multiple of 29/184, 721/152, 263/184

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

LCM of 29/184, 721/152, 263/184

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 29/184,721/152,263/184

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

LCM of Fractions 29/184,721/152,263/184 is 5499067/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 5499067

Least Common Multiple of 29,721,263 with GCF Formula

Least Common Multiple of 29,721,263 with GCF Formula

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

Greatest Common Factor of 184,152,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,152,184 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/184, 721/152, 263/184

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.