Question

if a=2^3×3,b=2×3×5,c=3^n×5 and lcm(a,b,c)=2^3×3^2×5​

Answer 1

Answer:

Answer:

Value of n = 2

Step-by-step explanation:

a = 2 ^ 3 * 3 ^ 1

b = 2 ^ 1 * 3 ^ 1 * 5 ^ 1

c = 3 ^ n * 5 ^ 1

LCM = 2 ^ 3 * 3 ^ n * 5 - - - (1)

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

LCM = 2 ^ 3 * 3 ^ 2 * 5 - - - (2) [given]

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

n = 2

Step-by-step explanation:

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