Question

Choose the correct option. The LCM of three different numbers is 150. Which of the given options can never be their HCF?​

Answer 1

150 is not a multiple of 55 thus 55 cannot divide 150. Therefore, 55 cannot be the HCf when LCM is 150. So, the correct answer is “Option D”.

Answer 2

Answer:

Using given four options which is not their H.C.F using L.C.M of three numbers. Final Answer: Option 4: $55$

Step-by-step explanation:

Correct question: Choose the correct option. The LCM of three different numbers is 150. Which of the given options can never be their HCF?​

A) 15

B) 25

C) 50

D) 55

From the given question,

• L.C.M means that Least Common Multiple.
• H.C.F means that Highest Common Factor.

Relation between L.C.M and H.C.F:

              L.C.M of the numbers must be the multiple of H.C.F

• L.C.M of three different numbers is 150.
• From the given four options, we should find which option is not the multiple of 150.

Step 1:

• Consider the first option($15$).
• $150$ is the multiple of $15$. Which means that, multiply $15$ and $10$ we can get the value $150$.

                        $15\times10=150$

Step 2:

• Consider the second option($25$).
• $150$ is the multiple of $25$. That is, multiply $25$ and $6$ we can get the value $150$.

                        $25\times6=150$

Step 3:

• Consider the third option($50$).
• $150$ is the multiple of $50$. That is, multiply $50$ and $3$ we can get the value $150$.

                        $50\times3=150$

Step 4:

• Consider the fourth option($55$).
• $150$ is not the multiple of $55$. That is, we cannot get the value $150$ using $55$

Final Answer: Option 4: $55$