find the smallest value of n such that the lcm of n id 15 is 45
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Answer:
The smallest number is 9
Step-by-step explanation:
Given : Numbers n and 15 and LCM is 45.
To find : The smallest value of n.
Solution :
Smallest value of n such that the LCM of n and 15 is 45.
Step 1: Prime factorization of 45
45 =9 \times5 = 3 \times 3 \times545=9×5=3×3×5
Step 2: LCM of 15 and 3 = 15
Step 3: LCM of 15 and 5 = 15
Step 4: LCM of 15 and 9 = 45 (check)
Therefore, The smallest number is 9.
Answered by
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Answer:
n = 9 is the correct answer
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