There is no largest number. You can just keep going.
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Even multiples of 5 must end with a zero.
Example: Find the LCM of 12 and 30.Write the multiples of 12: 12, 24, 36, 48, 60, 72, ...Write the multiples of 30: 30, 60, 90, ...The first number you find which is in both lists is the LCM: 60.
If the number is odd, that's the answer. If the number is even, write down all the factors and choose the largest one that is odd.
Formulas for compounds
The smallest three common mulltiples of 6 and 24 are 24, 48, and 72.