Use one of the usual methods to get the least common multiple. To get additional multiples, multiply this least common multiple by 0, by 1, by 2, by 3, etc.
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936. All numbers divisible by 12 and 13 are multiplies of the lowest common multiple of 12 and 13 which is 156. 999 ÷ 156 = 621/52 ⇒ greatest multiple of 156 not bigger than 999 is 6 x 156 = 936.
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The LCM of 12 and 13 is 156.
The lowest common multiple of 12 and 13 is 156