What are the common multiples of 54 and 73?
Common multiples of 54 and 73 are numbers that both 54 and 73 can be divided into evenly with no remainder.
To find the common multiples of 54 and 73, we compare the list of multiples of 54 with the list of multiples of 73 to see what they have in common.
To create a list of multiples of 54, we multiply 54 by 1, 54 by 2, and so on like this:
54 x 1 = 54
54 x 2 = 108
54 x 3 = 162
54 x 4 = 216
...
Similarly, to create a list of multiples of 73, we multiply 73 by 1, 73 by 2, and so on like this:
73 x 1 = 73
73 x 2 = 146
73 x 3 = 219
73 x 4 = 292
...
When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 54 and 73?"
3942, 7884, 11826, 15768, etc.
Since 3942 is the first number they have in common, 3942 is the least common multiple of 54 and 73.
Note: Our lists are shortened because they go on forever, but can you see the pattern when you look at the answer in green above? The common multiples are in intervals of 3942 (the least common multiple), so you can continue the green list above with more common multiples of 54 and 73 by simply adding 3942 to the last number on the list.
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What are the common multiples of 54 and 74?
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