Least Common Multiple of 57/99, 14/407, 349/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/99, 14/407, 349/729 quickly i.e. 278502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/99, 14/407, 349/729 is 278502.

LCM(57/99, 14/407, 349/729) = 278502

LCM of 57/99, 14/407, 349/729

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 57/99,14/407,349/729

Given numbers are 57/99,14/407,349/729

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 57,14,349

Least Common Multiple of Numerators i.e. LCM of 57,14,349 is 278502.

GCF of Denominators means GCF of 99,407,729 as per the given fractions.

GCF of 99,407,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,14,349

LCM of Fractions 57/99,14/407,349/729 is 278502

Given numbers has no common factors except 1. So, there LCM is their product i.e 278502

Least Common Multiple of 57,14,349 with GCF Formula

Least Common Multiple of 57,14,349 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 57,14,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,14,349) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(57,14,349) x common factors =1 x 1 = 1

LCM(57,14,349) = ( 57 × 14 × 349 ) / 1

LCM(57,14,349) = 278502 / 1

LCM(57,14,349) = 278502


Lets's calculate GCF of 99,407,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 278502/1

Therefore the LCM of Fractions 57/99,14/407,349/729 is 278502

Greatest Common Factor of 99,407,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,407,729 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 99,407,729 . The biggest common factor number is the GCF number.
So the greatest common factor 99,407,729 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 57/99, 14/407, 349/729

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 57/99, 14/407, 349/729?

Answer: LCM of Numerators as per given numbers 57/99, 14/407, 349/729 is

LCM of Numerators i.e. for 57,14,349 is 278502

GCF of denominators i.e. for 99,407,729 is 1.

Thus, LCM of Fractions is 278502.Finally, LCM of Fractions for 57/99, 14/407, 349/729 is 278502.