Least Common Multiple of 74/743, 144/587, 162/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/743, 144/587, 162/539 quickly i.e. 47952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/743, 144/587, 162/539 is 47952.

LCM(74/743, 144/587, 162/539) = 47952

LCM of 74/743, 144/587, 162/539

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 74/743,144/587,162/539

Given numbers are 74/743,144/587,162/539

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 74,144,162

Least Common Multiple of Numerators i.e. LCM of 74,144,162 is 47952.

GCF of Denominators means GCF of 743,587,539 as per the given fractions.

GCF of 743,587,539 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,144,162

LCM of Fractions 74/743,144/587,162/539 is 47952

2 74, 144, 162
3 37, 72, 81
3 37, 24, 27
37, 8, 9

∴ So the LCM of the given numbers is 2 x 3 x 3 x 37 x 8 x 9 = 47952

Least Common Multiple of 74,144,162 with GCF Formula

Least Common Multiple of 74,144,162 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 74,144,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,144,162) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(74,144,162) x common factors =2 x 18 = 36

LCM(74,144,162) = ( 74 × 144 × 162 ) / 36

LCM(74,144,162) = 1726272 / 36

LCM(74,144,162) = 47952


Lets's calculate GCF of 743,587,539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47952/1

Therefore the LCM of Fractions 74/743,144/587,162/539 is 47952

Greatest Common Factor of 743,587,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,587,539 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 539

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

1,7,11,49,77,539

Greatest Common Factor

We found the factors 743,587,539 . The biggest common factor number is the GCF number.
So the greatest common factor 743,587,539 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 74/743, 144/587, 162/539

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 74/743, 144/587, 162/539?

Answer: LCM of Numerators as per given numbers 74/743, 144/587, 162/539 is

LCM of Numerators i.e. for 74,144,162 is 47952

GCF of denominators i.e. for 743,587,539 is 1.

Thus, LCM of Fractions is 47952.Finally, LCM of Fractions for 74/743, 144/587, 162/539 is 47952.