Question

If first number is a multiplicative of second number, then the LCM of the two numbers is equal to .........

Answer 1

Answer:

The first number

Step-by-step explanation:

Consider the first number as nx, and the second number as x, where n is the multiplicative function (the number of times the first number is greater than the second number),

eg

$\frac{1}{nx} + \frac{1}{x}$

one of the commonly used formula for LCM is:

$LCM=\frac{ab}{GCD}$

where a= denominator of first fraction i.e. nx, b= denominator of second fraction i.e. x.

GCD= greatest common divisor,  or the greatest number by which both denominators can divided by.

In this case, the greatest number both 'nx' and 'x' are divided by is 'x'. So we take 'x' as the GCD.

Now apply these figures into the equation,

$LCM=\frac{(nx)(x)}{x}$

$LCM=\frac{nx^{2} }{x}$

$LCM=nx$

So LCM of the two numbers is equal to nx, which is the first number or the multiplicative of the second number.

Answer 2

Answer:

the LCM will be equal to the first number because LCM will always by the largest multiple