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NTPC Graduate Tier 1 2016 Shift 2 📅 02 Apr, 2016

Find the LCM of 15, 25 and 29.

A
2335
B
3337
C
2175
D
2375
Result Summary
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APEDIA

NTPC Graduate Tier 1
2016 • 02 Apr, 2016 • Shift 2
Find the LCM of 15, 25 and 29.
Correct Answer
2175
Factorization Method: The most reliable method to find the Least Common Multiple (LCM) is to break down each number into its prime factors.Prime Breakdown: 15 c......
💡 Analysis & Explanation
Factorization Method ▼
The most reliable method to find the Least Common Multiple (LCM) is to break down each number into its prime factors.
Prime Breakdown ▼
15 can be factored as 3 * 5. 25 can be factored as 5 * 5 (or 5^2). 29 is a prime number and has no other factors except 1 and itself (29).
Selecting the Highest Powers ▼
To build the LCM, we take the highest power of every prime factor present across all numbers. These are 3^1, 5^2, and 29^1.
Multiplication Execution ▼
LCM = 3 * 25 * 29. Multiplying 3 by 25 gives 75. Next, multiply 75 by 29.
Final Calculation ▼
75 * 29 = 2175.
Conclusion ▼
The resulting LCM is accurately calculated as 2175.