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# The least positive integer that is divisible by 2, 3, 15, and 28 is

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Math Expert
Joined: 02 Sep 2009
Posts: 51229
The least positive integer that is divisible by 2, 3, 15, and 28 is  [#permalink]

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26 Nov 2018, 22:35
00:00

Difficulty:

35% (medium)

Question Stats:

62% (00:44) correct 38% (01:14) wrong based on 29 sessions

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The least positive integer that is divisible by 2, 3, 15, and 28 is

A. 210
B. 420
C. 840
D. 1,260
E. 2,520

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Director
Joined: 18 Aug 2017
Posts: 747
Location: India
Concentration: Sustainability, Marketing
WE: Marketing (Energy and Utilities)
Re: The least positive integer that is divisible by 2, 3, 15, and 28 is  [#permalink]

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27 Nov 2018, 07:30
1
Bunuel wrote:
The least positive integer that is divisible by 2, 3, 15, and 28 is

A. 210
B. 420
C. 840
D. 1,260
E. 2,520

Find LCM of 2,3,15,28 : 2^2*3*5*7= 420 IMO B
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Joined: 09 Mar 2016
Posts: 1235
Re: The least positive integer that is divisible by 2, 3, 15, and 28 is  [#permalink]

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27 Nov 2018, 07:39
Bunuel wrote:
The least positive integer that is divisible by 2, 3, 15, and 28 is

A. 210
B. 420
C. 840
D. 1,260
E. 2,520

through prime factorization one can find the least positive integer that is divisible $$2^2$$, $$3$$,$$5$$ ,$$7$$ we

we need to have TWO "2" because 28 has at least TWO prime numbers of 2

B
Re: The least positive integer that is divisible by 2, 3, 15, and 28 is &nbs [#permalink] 27 Nov 2018, 07:39
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# The least positive integer that is divisible by 2, 3, 15, and 28 is

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