Quantitative Aptitude :: H.C.F and L.C.M - Discussion
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Choose the correct option.
If an integer k is divisible by 2,5 and 13, what is the next largest number that is divisible by all the three given numbers ?
Ak+130
Bk+13
C2k+13
D2k+65
E2k
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STEP-BY-STEP
lcm of (2,5,13)=130.
so any number multiple of 130 is also divisible by these number.
so the answer is 2k.
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REPLY
In Question, it is asking the next largest number that is divisible by all the three given numbers.
so to get the next number you have to add the LCM to number K. Because K can be anything ... if it is 390 then as per 2k answer next number will be 390*2 = 780
but as per k+130 option it will be 390+130 = 520, which will be next number.
I hope you got the reason for it.
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