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The LCM of the numbers k and m is km and the LCM of the numbers m and-
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13 Mar 2021, 08:27
13 Mar 2021, 08:27
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The LCM of the numbers k and m is km and the LCM of the numbers m and n is mn, where k, m and n all are positive.
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
LCM of k and n |
kn |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
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Re: The LCM of the numbers k and m is km and the LCM of the numbers m and-
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13 Mar 2021, 22:07
13 Mar 2021, 22:07
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swiikiller wrote:
The LCM of the numbers k and m is km and the LCM of the numbers m and n is mn, where k, m and n all are positive.
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
LCM of k and n |
kn |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
Let \(k = 2\) and \(n = 3\)
Col. A: \(6\)
Col. B: \(6\)
Let \(k = 2\) and \(n = 4\)
Col. A: \(4\)
Col. B: \(8\)
Hence, option D
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The LCM of the numbers k and m is km and the LCM of the numbers m and-
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02 Jul 2021, 07:39
02 Jul 2021, 07:39
1
The LCM of the numbers k and m is km
This means that k and m are co-prime numbers.
=> k and m do not have any factor common apart from 1.
Example k can be 2 and m can be 3
The LCM of the numbers m and n is mn
This means that m and n are co-prime numbers.
=> n and n do not have any factor common apart from 1.
Example m can be 3 and n can be 4, or m can be 3 and n can be 5
Quantity A LCM of k and n
Now, LCM(k,n) = kn when k and are co-prime. Ex, when k = 2 and n = 5. LCM(k,n) = 2*5 = 10 = kn
And, LCM(k,n) < kn when k and n are NOT co-prime. Ex, when k = 2 and n = 4 then LCM(k,n) = 4 <, kn
=> Quantity A (LCM of k and n) CNA be <= Quantity B (kn)
So, we need to know value of k and n to answer the question.
=> Information is not sufficient to answer the question.
So, Answer will be D.
Hope it helps!
To learn more about LCM and GCD watch the following videos
This means that k and m are co-prime numbers.
=> k and m do not have any factor common apart from 1.
Example k can be 2 and m can be 3
The LCM of the numbers m and n is mn
This means that m and n are co-prime numbers.
=> n and n do not have any factor common apart from 1.
Example m can be 3 and n can be 4, or m can be 3 and n can be 5
Quantity A LCM of k and n
Now, LCM(k,n) = kn when k and are co-prime. Ex, when k = 2 and n = 5. LCM(k,n) = 2*5 = 10 = kn
And, LCM(k,n) < kn when k and n are NOT co-prime. Ex, when k = 2 and n = 4 then LCM(k,n) = 4 <, kn
=> Quantity A (LCM of k and n) CNA be <= Quantity B (kn)
So, we need to know value of k and n to answer the question.
=> Information is not sufficient to answer the question.
So, Answer will be D.
Hope it helps!
To learn more about LCM and GCD watch the following videos
