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Question:
if a=2*3, b=2*3*5, c=3n*5 then the LCM (a.b.c)= 2*3 * 3*2 * 5 .find the value of n?
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

So, the value of n is 2

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