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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: 55802
The least positive integer that is divisible by 2, 3, 15, and 28 is  [#permalink]

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26 Nov 2018, 23:35
00:00

Difficulty:

35% (medium)

Question Stats:

64% (00:57) correct 36% (01:13) wrong based on 44 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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Re: The least positive integer that is divisible by 2, 3, 15, and 28 is  [#permalink]

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27 Nov 2018, 08:30
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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Re: The least positive integer that is divisible by 2, 3, 15, and 28 is  [#permalink]

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27 Nov 2018, 08:39
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   [#permalink] 27 Nov 2018, 08:39
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