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Which number will surely be a multiple of both (2^4\times3^2) and (2^2\times3^3\times5)?कौन-सी संख्या (2^4\times3^2) और (2^2\times3^3\times5) दोनों की गुणज अवश्य होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2^4\times3^3\times5)(2^4\times3^3\times5)
Step 1: A common multiple must contain all required prime powers of both numbers. Step 2: The required highest powers are (2^4), (3^3), and (5). Step 3: Do not miss any required prime factor while checking a multiple.चरण 1: दोनों की गुणज संख्या में दोनों संख्याओं के लिए जरूरी सभी अभाज्य घातें होनी चाहिए। चरण 2: आवश्यक बड़ी घातें (2^4), (3^3) और (5) हैं। चरण 3: गुणज की जाँच में कोई आवश्यक अभाज्य छूटना नहीं चाहिए।
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