Question

If P = 2³x3
Q = 2x 3×5 and R = 3^x×5
and Lcm of P,Q, R = 2³ x 3²x5. Find the value
of x.
​

Answer 1

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

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