Question

*The L.C.M of 3, 6 and x is 18. What is the possible value of x?*

1️⃣ 36
2️⃣ 42
3️⃣ 18
4️⃣ 45​

Answer 1

18...........................

Answer 2

Answer:

The correct answer for the given problem is found to be option (3) 18.

Step-by-step explanation:

The LCM is the least common multiple of the numbers taken under consideration. Thus, the LCM is the number which is the least number that can be divided by all of the numbers taken under consideration.

Here, we are given that the LCM of 3, 6 and $x$ is 18, meaning 18 is the least number that can be divided by 3, 6 and $x$. Hence, we know that all the possible values of $x$ should be either less than or equal to 18 as any value/number greater than 18 will not divide 18.

Thus, the possible values of $x$ can be 1, 2, 3, 6, 9 and 18, out of which 18 is the only option available.

Thus, the correct option is found to be option (3) 18.

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