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33 = 3 x 11
39 = 3 x 13
Note that there are 3 columns ( 3, 11, 13) and they are all prime numbers (prime factorisation)
To find the LCM, multiply the highest number in each column, so, 3 x 11 x 13 = 429
So, the LCM is 429
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∙ 12y ago
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24. A multiple of (x), for example, is a number divisible by x. So multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48 ...etc. Multiples of 8 are 8, 16, 24, 32, 40, 48 ...etc. Since the lowest multiple which 3 and 8 have in common is "24", it is called the "LCM" (a.k.a. Lowest Common Multiple). 48 is a common multiple shared by 3 and 8, but it is not the lowest. This is essentially a mathematical / analytical proof, so I hope it helps.
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