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Which number will surely be a multiple of both (2^6\times3\times5) and (2^4\times3^3\times7)?कौन-सी संख्या (2^6\times3\times5) और (2^4\times3^3\times7) दोनों की गुणज अवश्य होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2^6\times3^3\times5\times7)(2^6\times3^3\times5\times7)
Step 1: A common multiple must contain all prime powers required by both numbers. Step 2: The highest powers are (2^6), (3^3), (5), and (7). 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: बड़ी घातें (2^6), (3^3), (5) और (7) हैं। चरण 3: गुणज जाँचते समय कोई आवश्यक अभाज्य गुणनखंड न छोड़ें।
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