Multiple choice

If the LCM of 75 and a natural number N is 150, how many different values are valid for N?

  1. 6

  2. 5

  3. 4

  4. 3
Reveal answer Fill a bubble to check yourself
A Correct answer
AI explanation

Given the relationship that the product of two numbers equals their LCM multiplied by their HCF, we have 75 times N equals 150 times the HCF, which simplifies to N equals 2 times the HCF. Because N must be a factor of 150, the valid factors are 2, 6, 10, 30, 50 and 150, giving 6 valid values.

Keep practicing — related questions