Question

A radio station is giving away concert tickets to every 60th caller and a concert T-shirt to every 45th caller. What will be the number of the first called to win both items?

Answer 1

Given:

Callers who get a concert ticket = $60$

Callers who get a concert T-shirt = $45$

To find:

The number of the first caller to win both items

Method used:

LCM of $60$ and $45$ by division method

Step-by-step explanation:

Let us take the LCM of $60$ and $45$ by division method

LCM of ($60$ and $45$) = $2$ × $2$ × $3$ × $3$ × $5$ = $180$

The $180$th caller will be both the $60$th and $45$th caller

Answer:

Therefore, the $180$th caller will be eligible to win both items.