Question

The LCM of two numbers is 3584, and their HCF is 8. Find the product of the two numbers.

Asked in UP Police SI (दरोगा) · 2026
LCM and HCF · Quantitative Aptitude
Exam PYQ4 Options
Quantitative AptitudeNumber SystemLCM and HCFLCMInteger BasedUP Police SI (दरोगा)2026
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Do not multiply all the given numbers directly to find the LCM. Common prime factors should be counted only with their highest required powers.

Correct AnswerCorrect option for this question
Option D — 28672

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Questions Asked from LCM: Prime Factorisation & The Ladder Method in Previous Exams

See how often LCM: Prime Factorisation & The Ladder Method has appeared in previous-year questions across major government exams.

High Exam Frequency
15UPSC Questions Asked in These Years:2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2022, 2023, 2024, 2026
9SSC Questions Asked in These Years:2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026
7Railways Questions Asked in These Years:2016, 2018, 2021, 2022, 2024, 2025, 2026
16State PSC Questions Asked in These Years:2002, 2004, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025
LCM: Prime Factorisation & The Ladder Method has appeared in 47 previous-year exam questions, most frequently in State PSC, UPSC and SSC.
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