Saved Bookmarks
| 1. |
The LCM of three different numbers is 120. Which of the following cannot be their HCF? |
|
Answer» LCM is the multiplication of one common factor of the numbers and the other different factors of the numbers. Write the LCM = 120 into factored form, that is 120 = 2 × 2 × 2 × 3 × 5 = 4(2 × 3 × 5) ⇒ 4 is the common factor of the numbers. So, the HCF of three numbers is a multiple of 4. Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ... Since 35 is not the multiple of 4, therefore 35 cannot be their HCF. |
|