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Which number will be a multiple of both (2^5\times3^2\times5) and (2^3\times3^4\times7)?कौन-सी संख्या (2^5\times3^2\times5) और (2^3\times3^4\times7) दोनों की गुणज होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2^5\times3^4\times5\times7)(2^5\times3^4\times5\times7)
Step 1: A common multiple must be a multiple of the LCM. Step 2: The LCM contains (2^5), (3^4), (5), and (7). Step 3: For a multiple, every required prime power must be present.चरण 1: दोनों की गुणज संख्या उनके लघुत्तम समापवर्त्य की भी गुणज होगी। चरण 2: लघुत्तम समापवर्त्य में (2^5), (3^4), (5) और (7) आएँगे। चरण 3: गुणज जाँचते समय हर आवश्यक अभाज्य घात मौजूद होनी चाहिए।
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