Least Common Multiple of 29/346, 99/366, 176/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/346, 99/366, 176/279 quickly i.e. 45936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/346, 99/366, 176/279 is 45936.

LCM(29/346, 99/366, 176/279) = 45936

LCM of 29/346, 99/366, 176/279

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 29/346,99/366,176/279

Given numbers are 29/346,99/366,176/279

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 29,99,176

Least Common Multiple of Numerators i.e. LCM of 29,99,176 is 45936.

GCF of Denominators means GCF of 346,366,279 as per the given fractions.

GCF of 346,366,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,99,176

LCM of Fractions 29/346,99/366,176/279 is 45936

11 29, 99, 176
29, 9, 16

∴ So the LCM of the given numbers is 11 x 29 x 9 x 16 = 45936

Least Common Multiple of 29,99,176 with GCF Formula

Least Common Multiple of 29,99,176 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 29,99,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,99,176) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(29,99,176) x common factors =1 x 11 = 11

LCM(29,99,176) = ( 29 × 99 × 176 ) / 11

LCM(29,99,176) = 505296 / 11

LCM(29,99,176) = 45936


Lets's calculate GCF of 346,366,279

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45936/1

Therefore the LCM of Fractions 29/346,99/366,176/279 is 45936

Greatest Common Factor of 346,366,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,366,279 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 346,366,279 . The biggest common factor number is the GCF number.
So the greatest common factor 346,366,279 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 29/346, 99/366, 176/279

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 29/346, 99/366, 176/279?

Answer: LCM of Numerators as per given numbers 29/346, 99/366, 176/279 is

LCM of Numerators i.e. for 29,99,176 is 45936

GCF of denominators i.e. for 346,366,279 is 1.

Thus, LCM of Fractions is 45936.Finally, LCM of Fractions for 29/346, 99/366, 176/279 is 45936.