Question

What is the least common multiple of the numbers 5, 25, and 15?ОА.25B.50OC.75D.100E.125

Answer 1

The least commom multiple OR LCM of numbers is the least commom multiple that is divisible by the given numbers. For that, first find the prime factors of the given numbers. Then, we have to multiply each factor the greatest number of times it occurs in the numbers.

The LCM can be found as

Hence, the LCM can be written as,

`\begin{gathered} \text{LCM}=5*1*5*3 \\ =75 \end{gathered}`

75 is the smallest number which is divisible by 5,25 and 75. Therefore, the least common multiple of the numbers 5, 25, and 15 is 75.