Least Common Multiple of 1395/493, 8544/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1395/493, 8544/423 quickly i.e. 3972960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1395/493, 8544/423 is 3972960.

LCM(1395/493, 8544/423) = 3972960

LCM of 1395/493, 8544/423

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 1395/493,8544/423

Given numbers are 1395/493,8544/423

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 1395,8544

Least Common Multiple of Numerators i.e. LCM of 1395,8544 is 3972960.

GCF of Denominators means GCF of 493,423 as per the given fractions.

GCF of 493,423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1395,8544

LCM of Fractions 1395/493,8544/423 is 3972960

3 1395, 8544
465, 2848

∴ So the LCM of the given numbers is 3 x 465 x 2848 = 3972960

Least Common Multiple of 1395,8544 with GCF Formula

Least Common Multiple of 1395,8544 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 1395,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1395,8544) = 3

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

GCF(1395,8544) x common factors =3 x 1 = 3

LCM(1395,8544) = ( 1395 × 8544 ) / 3

LCM(1395,8544) = 11918880 / 3

LCM(1395,8544) = 3972960


Lets's calculate GCF of 493,423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3972960/1

Therefore the LCM of Fractions 1395/493,8544/423 is 3972960

Greatest Common Factor of 493,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,423 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 493,423 . The biggest common factor number is the GCF number.
So the greatest common factor 493,423 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 1395/493, 8544/423

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 1395/493, 8544/423?

Answer: LCM of Numerators as per given numbers 1395/493, 8544/423 is

LCM of Numerators i.e. for 1395,8544 is 3972960

GCF of denominators i.e. for 493,423 is 1.

Thus, LCM of Fractions is 3972960.Finally, LCM of Fractions for 1395/493, 8544/423 is 3972960.