Question

while performing a piece of music, adele strikes the cymbals every 2 beats and the triangle is every 7 beats. if she just struck both at the same time, how many beats will pass before she again strikes them at the same time?

beats

Explanation:

Step1: Identify the problem type

We need to find the least - common multiple (LCM) of 2 and 7.

Step2: Recall LCM property

Since 2 and 7 are prime to each other (their greatest - common divisor is 1), the LCM of two co - prime numbers \(a\) and \(b\) is \(a\times b\).

Step3: Calculate LCM

Here \(a = 2\) and \(b=7\), so \(LCM(2,7)=2\times7 = 14\).

Answer:

14