Multiple choice

If the LCM and HCF of two numbers respectively are 182 and 13, and one number is 26, find the second number.

  1. 169

  2. 92

  3. 91

  4. 90

  5. 84
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C Correct answer
Explanation

Product of two numbers = LCM * HCF. 26 * x = 182 * 13. x = (182 * 13) / 26 = 182 / 2 = 91.

AI explanation

Use the relationship that the product of two numbers equals the product of their least common multiple and highest common factor. Let the unknown number be x, so 26 multiplied by x equals 182 multiplied by 13. Divide 2366 by 26 to isolate x, which gives a value of 91.

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