What are the common multiples of 50 and 95?

Common multiples of 50 and 95 are numbers that both 50 and 95 can be divided into evenly with no remainder.

To find the common multiples of 50 and 95, we compare the list of multiples of 50 with the list of multiples of 95 to see what they have in common.

To create a list of multiples of 50, we multiply 50 by 1, 50 by 2, and so on like this:

50 x 1 = 50
50 x 2 = 100
50 x 3 = 150
50 x 4 = 200
...

Similarly, to create a list of multiples of 95, we multiply 95 by 1, 95 by 2, and so on like this:

95 x 1 = 95
95 x 2 = 190
95 x 3 = 285
95 x 4 = 380
...

When we compare the two lists to see what they have in common, we get the answer to "What are the common multiples of 50 and 95?"

950, 1900, 2850, 3800, etc.

Since 950 is the first number they have in common, 950 is the least common multiple of 50 and 95.

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 950 (the least common multiple), so you can continue the green list above with more common multiples of 50 and 95 by simply adding 950 to the last number on the list.

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What are the common multiples of 50 and 96?
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