Choose Language

Select your preferred reading language
🇬🇧
English
🇮🇳
हिन्दी
Full View
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
Logo

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.