Find the Least Common Multiple (LCM) of 250, 500, 1000 and 1050.
250, 500, 1000 और 1050 का लघुत्तम समापवर्त्य (LCM) ज्ञात कीजिए।
Answer और ExplanationAnswer and explanation
Answer: (A) 21000
250 = 2 × 53, 500 = 22 × 53, 1000 = 23 × 53, 1050 = 2 × 3 × 52 × 7
LCM = हर अभाज्य गुणनखंड (Prime factor) की सबसे बड़ी घात (Power) = 23 × 3 × 53 × 7 = 21000
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लघुत्तम समापवर्त्य (LCM) 21000 है।
250 = 2 × 53, 500 = 22 × 53, 1000 = 23 × 53, 1050 = 2 × 3 × 52 × 7
LCM = each prime with its highest power = 23 × 3 × 53 × 7 = 21000
✓
The LCM is 21000.
Source: UP Police Constable · 09 Jun 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: UP Police Constable · 09 Jun 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.