Multiple choice

The HCF of 2472, 1284 and a third number N is 12. If their LCM is 23 x 32 x 5 x 103 x 107, then the number N is

  1. 22 x 32 x 7

  2. 22 x 33 x 103

  3. 22 x 32 x 5

  4. 24 x 32 x 11

  5. 21 x 33 x 15
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

2472 = 2 x 2 x 2 x 3 x 103 1284 = 2 x 2 x 3 x 107 N = 2 x 2 x 3 x y (2, 2, 3 are common values and should product with y) HCF = 2 x 2 x 3 = 12 LCM = 2 x 2 x 3 x y x 2 x 103 x 107 We know the LCM and solve to find y. We get 15 Now, N = 180 = 22 x 32 x 15

Keep practicing — related questions