Question

LCM of first 60 natural number is x. Then the LCM of first 65 natural number is

• A. x
• B. 61x
• C. 3904 X
• D. None of these

Answer 1

Answer: (B)

61x

$x$ is the LCM of first 60 numbers

then,

61 is prime is prime, therefore x do not have any common factor. Hence its LCMis$61\times x$

$62=31\times 2$, it divided $x$

$63=21\times 3$, it divides $x$

$64=32\times 2$, it divides $x$

$65=13\times 5$, it divides $x$

Hence, The LCM of 65 terms is $61x$.