Question

If a = 23 x 3 , b = 2 x 3 x 5 , c = 3n x 5 and LCM ( a,b,c ) = 23 x 32 x 5, then
what is the value of n?

Answer 1

Answer: n=2

Step-by-step explanation:

• Given, a=2³×3,b=2×3×5 and c=3ⁿ×5.

• LCM of (a,b,c) is 2³×3²×5.
• We know that LCM = Product of the greatest power of each prime factor, involved in the numbers.
• c=3ⁿ×5 and L.C.M.=2³×3²×5
• On comparing the two equations we can see that the value of n=2.
• Hence,n=2 for the given question.

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