Owen had 3 different kinds of stickers that he wanted to put on paper. He put a bird sticker on every 30th paper, a sports sticker on every 50th paper and a robot sticker on every 60th paper. Will any of the first 600 pages have all 3 stickers? If so, which page?

Question

Mathematics

Isaiah Graham

20 March, 07:37

Owen had 3 different kinds of stickers that he wanted to put on paper. He put a bird sticker on every 30th paper, a sports sticker on every 50th paper and a robot sticker on every 60th paper. Will any of the first 600 pages have all 3 stickers? If so, which page?

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Porter Wright · Answer 1

So the which page that will have the 3 sticker, we must solve the least common multiple of 30, 50, 60. A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, ...

The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.

so the least common multiple of 30, 50 and 60 is 300. so the page that will have 3 stickers is 300th page