Question

The LCMof 9and 12 and n is 252.ifnis odd,find all posible value of n

Answer 1

Answer:

7, 3×7, 3×3×7

Step-by-step explanation:

9 = 3 × 3

12 = 2 × 2 × 3

252 = 2 × 2 × 3 × 3 × 7

LCM ( 9, 12, n ) = 252

all n's = 7, 2×7, 2×2×7, 3×7, 3×3×7, 2×3×7, 2×2×3×7, 2×3×3×7

odd n's = 7, 3×7, 3×3×7,

Note :

1) powers of prime numbers shd not exceed that of LCM

2) odd numbers do not contain 2's as factors