Question

If a= 2³ x 3 , b= 2x3x5, c= n x 5 , and LCM (a,b,c)= 2³ x 3² x 5, then n=

Answer 1

Answer:

Correct question is:

if a = 2*3, b = 2*3*5, c = 3n *5 and the LCM (a,b,c)= 2 * 3 * 3 * 5

Then find the value of n?

Solution:

Given,

a = 2 * 3

b = 2 * 3 * 5

c = 3n * 5

Now, LCM (a,b,c) = 2 * 3 * 3 * 5

=> 2 * 3n * 5 = 2 * 3 * 3 * 5

=> 2 * 3n * 5 = 2 * 32 * 5

=> n = 2

Answer 2

Answer:

The value of $n=2$.

Step-by-step explanation:

It is given that:

$a = 2*3$

$b = 2*3*5$

$c = 3n *5$

Also,

$LCM (a,b,c)= 2 * 3 * 3 * 5$

We need to determine value of $n$.

From given data, LCM has to be

$2 * 3n * 5$

LCM given is $2 * 3 * 3 * 5$

Equating,

$2 * 3n * 5 = 2 * 3 * 3 * 5$

$2 * 3n * 5 = 2 * 32 * 5$

$n=2$

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