Question
Download Solution PDFदोन संख्या 6 ∶ 5 च्या गुणोत्तरात आहेत. जर त्यांचा HCF 3 असेल, तर दोन संख्यांचा LCM किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
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दोन संख्या 6 ∶ 5 च्या प्रमाणात आहेत.
त्यांचे एचसीएफ 3 आहे.
वापरलेली संकल्पना:
1. जर P हा A आणि B चा HCF असेल तर A = P × m & B = P × n. (जेथे m आणि n अनियंत्रित धन पूर्णांक आहेत आणि ते एकमेकांचे सह-प्राइम आहेत)
2. LCM दोन किंवा अधिक संख्यांचा सर्वात लहान सामान्य गुणाकार आहे.
गणना:
पहिली संख्या = 6 × 3 = 18
दुसरी संख्या = 5 × 3 = 15
LCM (18, 15) = 3 × 6 × 5 = 90
∴ त्यांचे LCM 90 आहे.
Last updated on Jul 23, 2025
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