Least Common Multiple of 14/752, 244/595, 729/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/752, 244/595, 729/171 quickly i.e. 1245132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/752, 244/595, 729/171 is 1245132.

LCM(14/752, 244/595, 729/171) = 1245132

LCM of 14/752, 244/595, 729/171

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 14/752,244/595,729/171

Given numbers are 14/752,244/595,729/171

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 14,244,729

Least Common Multiple of Numerators i.e. LCM of 14,244,729 is 1245132.

GCF of Denominators means GCF of 752,595,171 as per the given fractions.

GCF of 752,595,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,244,729

LCM of Fractions 14/752,244/595,729/171 is 1245132

2 14, 244, 729
7, 122, 729

∴ So the LCM of the given numbers is 2 x 7 x 122 x 729 = 1245132

Least Common Multiple of 14,244,729 with GCF Formula

Least Common Multiple of 14,244,729 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 14,244,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,244,729) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(14,244,729) x common factors =1 x 2 = 2

LCM(14,244,729) = ( 14 × 244 × 729 ) / 2

LCM(14,244,729) = 2490264 / 2

LCM(14,244,729) = 1245132


Lets's calculate GCF of 752,595,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1245132/1

Therefore the LCM of Fractions 14/752,244/595,729/171 is 1245132

Greatest Common Factor of 752,595,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,595,171 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 752,595,171 . The biggest common factor number is the GCF number.
So the greatest common factor 752,595,171 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 14/752, 244/595, 729/171

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 14/752, 244/595, 729/171?

Answer: LCM of Numerators as per given numbers 14/752, 244/595, 729/171 is

LCM of Numerators i.e. for 14,244,729 is 1245132

GCF of denominators i.e. for 752,595,171 is 1.

Thus, LCM of Fractions is 1245132.Finally, LCM of Fractions for 14/752, 244/595, 729/171 is 1245132.