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Given that HCF (306… (Class 10 Maths Basic 2024, Q21)

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MathsCBSE Class 10 · Basic · Board exam 2024, set 430/4/1 · 2 marks · Very short answer

CBSE Class 10 Mathematics Basic 2024: question 21

Set in the CBSE Class 10 board exam of 2024, paper 430/4/1, section B, question 21, for 2 marks. Try it first; the hints and our step-by-step solution are below.

Q21 · 2 marks · Very short answerReal Numbers

Given that HCF , find LCM of .

Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 430/4/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

There is a relation linking the HCF, the LCM and the two numbers themselves.

Hint 2

HCF × LCM = 306 × 1314. Divide the product by 18.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. For any two positive integers, HCF × LCM = product of the numbers, so .

    1 mark

  2. .

    1 mark

Answer: LCM (306, 1314) = 22338

Where the marks are

  • Uses the relation HCF × LCM = product of the two numbers (1 mark)
  • Correctly computes LCM = 22338 (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Real Numbers, one at a time, marked against the answer key and marking points.Back to the full paper2024 board paper, set 430/4/1 (Basic): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.