Least Common Multiple of 14/539, 765/74, 340/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/539, 765/74, 340/273 quickly i.e. 21420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/539, 765/74, 340/273 is 21420.

LCM(14/539, 765/74, 340/273) = 21420

LCM of 14/539, 765/74, 340/273

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 14/539,765/74,340/273

Given numbers are 14/539,765/74,340/273

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 14,765,340

Least Common Multiple of Numerators i.e. LCM of 14,765,340 is 21420.

GCF of Denominators means GCF of 539,74,273 as per the given fractions.

GCF of 539,74,273 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,765,340

LCM of Fractions 14/539,765/74,340/273 is 21420

2 14, 765, 340
5 7, 765, 170
17 7, 153, 34
7, 9, 2

∴ So the LCM of the given numbers is 2 x 5 x 17 x 7 x 9 x 2 = 21420

Least Common Multiple of 14,765,340 with GCF Formula

Least Common Multiple of 14,765,340 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 14,765,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,765,340) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(14,765,340) x common factors =1 x 170 = 170

LCM(14,765,340) = ( 14 × 765 × 340 ) / 170

LCM(14,765,340) = 3641400 / 170

LCM(14,765,340) = 21420


Lets's calculate GCF of 539,74,273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21420/1

Therefore the LCM of Fractions 14/539,765/74,340/273 is 21420

Greatest Common Factor of 539,74,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 539,74,273 By Matching Biggest Common Factor Method

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 539,74,273 . The biggest common factor number is the GCF number.
So the greatest common factor 539,74,273 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 14/539, 765/74, 340/273

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 14/539, 765/74, 340/273?

Answer: LCM of Numerators as per given numbers 14/539, 765/74, 340/273 is

LCM of Numerators i.e. for 14,765,340 is 21420

GCF of denominators i.e. for 539,74,273 is 1.

Thus, LCM of Fractions is 21420.Finally, LCM of Fractions for 14/539, 765/74, 340/273 is 21420.