find the LCM of 30 and 65.

You know that the multiples of 30 must end in 0.

You know that the multiple of 65 and 30 must be an even number to end in 0. Only even numbers multiplied by 65 to end in 0.

Multiply 65 by the smallest even numbers to find the one that is the LCM of 30 and 65.