Question

plz answer the question correctly​

Answer 1

Step-by-step explanation:

Answer:

Value of n = 2

Step-by-step explanation:

a = 2³ × 3¹

b = 2¹ × 3¹ × 5¹

c = 3ⁿ × 5¹

LCM = 2³ × 3ⁿ × 5 ----(1)

/* Product of the smallest power of each common prime factor of the numbers */

LCM = 2³ × 3² × 5 ----(2)[given]

Now , compare (1) & (2) , we get

n = 2

••

Answer 2

Here n = 2

L.C.M :-

L.C.M is the product of the greatest

power of each prime factors of the

numbers ...

Case 1 :-

here the power of 3 is 1

Case 2 :-

here also the power of 3 is 1

Case 3 :-

here the power of 3 is n

But the L.C.M is

${2}^{3} \times {3}^{2} \times 5$

here the 3 has power 2

and case 1 and 2 the power is only 1

So, n should be " 2 "

☯️ I hope it helps you....