Question

show that the HCF of 12 and 15 is not greater than either 12 or 15 .
Also show that the LCM of 12 and 15 is not less than either 12 or 15 .​

Answer 1

Answer:

Step-by-step explanation:

For HCF,

factors of

12= 2× 2×3

15= 5×3

common factors= 3

3 is less than 12 and 15

for LCM

factors of

12= 2×2×3

15= 3×5

common factor=3

uncommon factor = 2×2×5

LCM= common factor × uncommon factor

= 3×2×2×5

= 60

60 is greater than both 12 and 15