LCM

Number Theory Level 2

What is the LCM of the 10 numbers (1,2,3,4,5,6,8,9,10)

720 1260 360 2520

Math Man by math man , 20, Indonesia

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3 solutions

Henrique Ribeiro
Jan 20, 2015

1 Helpful 0 Interesting 0 Brilliant 0 Confused

sir why u have taken number 6 twice

Ganagam Sudheendra - 6 years, 4 months ago

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Because when I solved this problem, the question was about 10 numbers and the number 6 was repeated. Look now, the question asks about 10 numbers, but shows only (1, 2, 3, 4, 5, 6, 8, 9, 10) = 9 numbers.

Henrique Ribeiro - 6 years, 4 months ago

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is that is the case then can i take 7 in the place of repeated 6

Ganagam Sudheendra - 6 years, 4 months ago

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@Ganagam Sudheendra – No, because you will need to multiply the prime numbers with 7 too, and the result will be 2520. But, that's wrong 'cause there isn't 7 in the sequence.

Henrique Ribeiro - 6 years, 4 months ago

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@Henrique Ribeiro – then i will take 4 twice ,can i?

Ganagam Sudheendra - 6 years, 4 months ago

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@Ganagam Sudheendra – Yes, you can. As you can take any number twice of this sequence, the result will be the same.

Henrique Ribeiro - 6 years, 4 months ago
Nehem Tudu
Jan 20, 2015

1=1;2=(1)(2);3=(1)(3);4=(1)(2)(2);5=(1)(5);6=(1)(2)(3);8=(1)(2)(2)(2);8=(1)(2)(2)(2);9=(1)(3)(3);10=(1)(2)(5); (1)(2)(3)(2)(5)(2)(3)=360

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John Wilcox
Jan 19, 2015

The only trick is to realize that the list doesn't include 7.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

this is trolligg (fail)

math man - 6 years, 4 months ago

The question isn't stated properly since it says there are "10 numbers" when it only lists 9.

Tristan Goodman - 5 months, 1 week ago

I thought that was a typo lol

Tan Wei Xin - 6 years, 4 months ago

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but then you should check that there are more than 200 solvers and the problem is not also reported as well.Hence,it should not be a typo.

mudit bansal - 6 years, 4 months ago

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