Least Common Multiple of 29/17, 25/14, 900/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/17, 25/14, 900/327 quickly i.e. 26100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/17, 25/14, 900/327 is 26100.

LCM(29/17, 25/14, 900/327) = 26100

LCM of 29/17, 25/14, 900/327

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 29/17,25/14,900/327

Given numbers are 29/17,25/14,900/327

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 29,25,900

Least Common Multiple of Numerators i.e. LCM of 29,25,900 is 26100.

GCF of Denominators means GCF of 17,14,327 as per the given fractions.

GCF of 17,14,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,25,900

LCM of Fractions 29/17,25/14,900/327 is 26100

5 29, 25, 900
5 29, 5, 180
29, 1, 36

∴ So the LCM of the given numbers is 5 x 5 x 29 x 1 x 36 = 26100

Least Common Multiple of 29,25,900 with GCF Formula

Least Common Multiple of 29,25,900 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 29,25,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,25,900) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(29,25,900) x common factors =1 x 25 = 25

LCM(29,25,900) = ( 29 × 25 × 900 ) / 25

LCM(29,25,900) = 652500 / 25

LCM(29,25,900) = 26100


Lets's calculate GCF of 17,14,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26100/1

Therefore the LCM of Fractions 29/17,25/14,900/327 is 26100

Greatest Common Factor of 17,14,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,14,327 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 17,14,327 . The biggest common factor number is the GCF number.
So the greatest common factor 17,14,327 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 29/17, 25/14, 900/327

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 29/17, 25/14, 900/327?

Answer: LCM of Numerators as per given numbers 29/17, 25/14, 900/327 is

LCM of Numerators i.e. for 29,25,900 is 26100

GCF of denominators i.e. for 17,14,327 is 1.

Thus, LCM of Fractions is 26100.Finally, LCM of Fractions for 29/17, 25/14, 900/327 is 26100.