A) 10
B) 100
C) 504
D) 2520
Correct Answer: D
Solution :
Sol. [d] Prime factorisation of numbers from 1 to 10 |
\[1=1;2=1\times 2;3=1\times 3;4=1\times 2\times 2\] |
\[5=1\times 5;6=1\times 2\times 3;7=1\times 7\] |
\[8=1\times 2\times 2\times 2;9=1\times 3\times 3\] |
\[10=1\times 2\times 5\] |
\[\therefore \] Required least number = LCM of numbers from 1 to 10 |
\[=LCM(1,2,3,4,5,6,7,8,9,10)\] |
\[=1\times 2\times 2\times 2\times 3\times 3\times 5\times 7=2520\] |
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