Least Common Multiple of 592/14, 6993/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 592/14, 6993/747 quickly i.e. 111888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 592/14, 6993/747 is 111888.

LCM(592/14, 6993/747) = 111888

LCM of 592/14, 6993/747

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 592/14,6993/747

Given numbers are 592/14,6993/747

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 592,6993

Least Common Multiple of Numerators i.e. LCM of 592,6993 is 111888.

GCF of Denominators means GCF of 14,747 as per the given fractions.

GCF of 14,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 592,6993

LCM of Fractions 592/14,6993/747 is 111888

37 592, 6993
16, 189

∴ So the LCM of the given numbers is 37 x 16 x 189 = 111888

Least Common Multiple of 592,6993 with GCF Formula

Least Common Multiple of 592,6993 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 592,6993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,6993) = 37

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

GCF(592,6993) x common factors =37 x 1 = 37

LCM(592,6993) = ( 592 × 6993 ) / 37

LCM(592,6993) = 4139856 / 37

LCM(592,6993) = 111888


Lets's calculate GCF of 14,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111888/1

Therefore the LCM of Fractions 592/14,6993/747 is 111888

Greatest Common Factor of 14,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,747 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 14,747 . The biggest common factor number is the GCF number.
So the greatest common factor 14,747 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 592/14, 6993/747

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 592/14, 6993/747?

Answer: LCM of Numerators as per given numbers 592/14, 6993/747 is

LCM of Numerators i.e. for 592,6993 is 111888

GCF of denominators i.e. for 14,747 is 1.

Thus, LCM of Fractions is 111888.Finally, LCM of Fractions for 592/14, 6993/747 is 111888.