How many numbers less than 1,000 are multiples of both 7 and 11?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 12.
LCM of 7 and 11:
7 and 11 are prime numbers.
LCM(7, 11) = 7 × 11 = 77
Now, we need to find how many multiples of 77 are less than 1,000.
Number of multiples of 77 less than 1,000 = ⌊1000 / 77⌋
⇒ ⌊1000 / 77⌋ = ⌊12.987…⌋
Since we take the floor value, we get 12.