Least Common Multiple of 29/375, 55/330, 209/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/375, 55/330, 209/501 quickly i.e. 30305/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/375, 55/330, 209/501 is 30305/3.

LCM(29/375, 55/330, 209/501) = 30305/3

LCM of 29/375, 55/330, 209/501

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 29/375,55/330,209/501

Given numbers are 29/375,55/330,209/501

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 29,55,209

Least Common Multiple of Numerators i.e. LCM of 29,55,209 is 30305.

GCF of Denominators means GCF of 375,330,501 as per the given fractions.

GCF of 375,330,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,55,209

LCM of Fractions 29/375,55/330,209/501 is 30305/3

11 29, 55, 209
29, 5, 19

∴ So the LCM of the given numbers is 11 x 29 x 5 x 19 = 30305

Least Common Multiple of 29,55,209 with GCF Formula

Least Common Multiple of 29,55,209 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 29,55,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,55,209) = 1

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

GCF(29,55,209) x common factors =1 x 11 = 11

LCM(29,55,209) = ( 29 × 55 × 209 ) / 11

LCM(29,55,209) = 333355 / 11

LCM(29,55,209) = 30305


Lets's calculate GCF of 375,330,501

3 375, 330, 501
125, 110, 167

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30305/3

Therefore the LCM of Fractions 29/375,55/330,209/501 is 30305/3

Greatest Common Factor of 375,330,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,330,501 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 375,330,501 . The biggest common factor number is the GCF number.
So the greatest common factor 375,330,501 is 3.


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 29/375, 55/330, 209/501

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 29/375, 55/330, 209/501?

Answer: LCM of Numerators as per given numbers 29/375, 55/330, 209/501 is

LCM of Numerators i.e. for 29,55,209 is 30305

GCF of denominators i.e. for 375,330,501 is 3.

Thus, LCM of Fractions is 30305/3.Finally, LCM of Fractions for 29/375, 55/330, 209/501 is 30305/3.