Multiple choice

Two numbers whose HCF is 57. The second number is 30% more than the first number. So what will be their LCM ?

  1. 7410

  2. 74.1

  3. 741

  4. Cann’t be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

For two numbers with HCF=57 where second is 30% more than first, let numbers be 57x and 57y where x and y are coprime. From y = 1.3x, if x=10 then y=13 (coprime), giving numbers 570 and 741 with LCM 57570. If x=19, y=24.7 giving 57 and 74.1 with LCM 465.6. Different number pairs produce different LCMs, so the LCM cannot be uniquely determined.

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