Which of the following is the least common multiple of 24 and 36?
6
12
72
864
the least common multiple of two or more numbers is the SMALLEST number by which those two or more numbers can be divided.
24 and 36
We have to find the smallest number that go into both 24 and 36
Now, I know that it is either 72 or 864 because both f these numbers are bigger than 24 and 36. Keep in mind that it has to be the smallest number possible.
72 / 24 = 3
72 / 36 = 2
So the LCM of 24 and 36 is 72
Answer: The correct option is (C) 72.
Step-by-step explanation: We are given to select the correct number that is the least common multiple of 24 and 36.
The Least Common Multiple (LCM) of some numbers smallest multiple such that it is divisible by all the numbers.
So, the LCM of 24 and 36 is the smallest number which is divisible by both 24 and 36.
We have
\(24=2\times 2\times 2\times 3,\\\\36=2\times 2\times 3\times 3.\)
Therefore, the LCM of 24 and 36 is given by
\(LCM(24,36)=2\times 2\times 2\times 3\times 3=8\times 9=72.\)
Thus, the least common multiple of 24 nad 36 is 72.
Option (C) is correct.