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Which is the smallest number exactly divisible by (36), (100), and (150)?कौन-सी सबसे छोटी संख्या (36), (100) और (150) से पूरी तरह विभाजित होगी?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (900)(900)
Step 1: Such a smallest number is the LCM of the three numbers. Step 2: (36=2^2\times3^2), (100=2^2\times5^2), and (150=2\times3\times5^2), so LCM (=2^2\times3^2\times5^2=900). Step 3: Take the highest power of each prime.चरण 1: ऐसी सबसे छोटी संख्या तीनों संख्याओं का लघुत्तम समापवर्त्य होगी। चरण 2: (36=2^2\times3^2), (100=2^2\times5^2), (150=2\times3\times5^2), इसलिए लघुत्तम समापवर्त्य (2^2\times3^2\times5^2=900) है। चरण 3: हर अभाज्य की सबसे बड़ी घात लें।
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