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What is the lowest positive integer that is divisible by each of the i 06 Jun 2016, 05:27
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C
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What is the lowest positive integer that is divisible by each of the integers 1 through 8, inclusive?

(A) 420
(B) 560
(C) 840
(D) 960
(E) 1080
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C
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What is the lowest positive integer that is divisible by each of the i 06 Jun 2016, 05:48
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The integers are 1 , 2 , 3 , 4 , 5 , 6 , 7 and 8
Lowest positive integer that is is divisible by each of the integers 1 through 8
= 2^3 * 3 * 5 * 7
=8*3 *5 *7
=24 * 35
= 840
Answer C
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What is the lowest positive integer that is divisible by each of the i Updated on: 06 Jun 2016, 06:01
Originally posted by AbdurRakib on 06 Jun 2016, 05:51.
Last edited by AbdurRakib on 06 Jun 2016, 06:01, edited 2 times in total.
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Bunuel
What is the lowest positive integer that is divisible by each of the integers 1 through 8, inclusive?

(A) 420
(B) 560
(C) 840
(D) 960
(E) 1080
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1 through 8 inclusive integers are 1,2,3,4,5,6,7,8; If I factorize answer Choice A,I found \(2^2\)*3*5*7. So I we could multiply this number by 2(to be divisible by 8) then the number is 420*2=840

Correct answer C
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What is the lowest positive integer that is divisible by each of the i 06 Jun 2016, 05:53
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divisible by
1,2,3,4,5,6,7,8
LCM = 2^3*7*5*3
=840
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What is the lowest positive integer that is divisible by each of the i 06 Jun 2016, 06:39
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I simply applied divisibility rules from 2 to exclude numbers that do not qualify. Since all the numbers end with 0, it was very easy and quick to apply most of the divisibility rules:

420, 560, 840, 960, 1080

Divisibility by 2: all qualify
Divisibility by 3: 420, 560 out
Divisibility by 4, 5 & 6: all remaining qualify
Divisibility by 7: 84 is divisible by 7, 96 & 108 no

Answer: C

I hope someone finds this approach useful!
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What is the lowest positive integer that is divisible by each of the i 06 Jun 2016, 12:19
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Lowest positive integer that is is divisible by integers 1 through 8
= (2^3)x3x5x7 = 840
Answer 'C'
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What is the lowest positive integer that is divisible by each of the i 06 Jun 2016, 12:34
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Integers are 1,2,3,4,5,6,7,8..
The Lowest Positive Integer among the answer Choice is 420.
Applied Divisibility Rule to 420.
420 is divisible by 1,2,3,4,5,6,7 except 8.
Multiplying 420 by 2 = 420 *2 = 840 ... Answer C....

Please, consider giving kudos if you find my answer helpful in any way :) :good :thumbup:
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What is the lowest positive integer that is divisible by each of the i 05 May 2020, 22:36
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