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What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?

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What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?

by Vincen » Sun May 03, 2020 11:56 am

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What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?

A) 420
B) 840
C) 1260
D) 2520
E) 5040


[spoiler]OA=A[/spoiler]

Source: Official Guide
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Re: What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?

by swerve » Sun May 03, 2020 12:48 pm
Vincen wrote: ↑
Sun May 03, 2020 11:56 am
 What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?

A) 420
B) 840
C) 1260
D) 2520
E) 5040


[spoiler]OA=A[/spoiler]

Source: Official Guide
The integer should be divisible by: 2, 3, 4(=2^2), 5, 6(=2*3), and 7. The least common multiple of these integers is LCM=2^2*3*5*7=420.

Hence, A
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