Least Common Multiple of 14/49, 27/20, 493/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/49, 27/20, 493/703 quickly i.e. 186354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/49, 27/20, 493/703 is 186354.

LCM(14/49, 27/20, 493/703) = 186354

LCM of 14/49, 27/20, 493/703

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 14/49,27/20,493/703

Given numbers are 14/49,27/20,493/703

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 14,27,493

Least Common Multiple of Numerators i.e. LCM of 14,27,493 is 186354.

GCF of Denominators means GCF of 49,20,703 as per the given fractions.

GCF of 49,20,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,27,493

LCM of Fractions 14/49,27/20,493/703 is 186354

Given numbers has no common factors except 1. So, there LCM is their product i.e 186354

Least Common Multiple of 14,27,493 with GCF Formula

Least Common Multiple of 14,27,493 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 14,27,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,27,493) = 1

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

GCF(14,27,493) x common factors =1 x 1 = 1

LCM(14,27,493) = ( 14 × 27 × 493 ) / 1

LCM(14,27,493) = 186354 / 1

LCM(14,27,493) = 186354


Lets's calculate GCF of 49,20,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186354/1

Therefore the LCM of Fractions 14/49,27/20,493/703 is 186354

Greatest Common Factor of 49,20,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,20,703 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 49,20,703 . The biggest common factor number is the GCF number.
So the greatest common factor 49,20,703 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 14/49, 27/20, 493/703

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 14/49, 27/20, 493/703?

Answer: LCM of Numerators as per given numbers 14/49, 27/20, 493/703 is

LCM of Numerators i.e. for 14,27,493 is 186354

GCF of denominators i.e. for 49,20,703 is 1.

Thus, LCM of Fractions is 186354.Finally, LCM of Fractions for 14/49, 27/20, 493/703 is 186354.