Question
Download Solution PDF24, 42 आणि 56 चा लसावि शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
24,42,56 दिलेल्या संख्या आहेत
वापरलेली संकल्पना:
लसावि कोणत्याही दोन किंवा अधिक दिलेल्या पूर्णांकांपैकी किमान सामान्य विभाजक किंवा गुणक दर्शवितो.
लसावि शोधण्याची एक पद्धत : घातांक वापरून मुख्य घटकीकरण.
- दिलेल्या प्रत्येक संख्येचे सर्व मूळ अवयव शोधा.
- सापडलेल्या सर्व अविभाज्य संख्यांची यादी करा, जितक्या वेळा ते कोणत्याही एका संख्येसाठी येतात.
- लसावि शोधण्यासाठी अविभाज्य अवयवांची यादी एकत्र गुणा.
गणना:
24,42,56 चा लसावि
⇒ 24 चे अवयव = 3 × 2 × 2 × 2
⇒ 42 चे अवयव = 7×3×2
⇒ 56 चे अवयव = 7 × 2 × 2 × 2
आता, सर्व मूळ अवयवांच्या सर्वोच्च घातांचा गुणाकार लसावि असेल
⇒ 23 × 71 × 31 = 168 .
म्हणून, 24,42,56 चा लसावि 68 आहे.
Last updated on Jul 18, 2025
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