Respuesta :
Answer: The statements in options 2 and 4 are true.
Explanation:
The LCM of two numbers is the smallest number that is multiple of both numbers.
The factor of 8 and 12 are,
[tex]8=2\times 2\times 2[/tex]
[tex]12=2\times 2\times 3[/tex]
Since 2 and 2 are common in both but 2 and 3 are not same, therefore the L.C.M. of 8 and 12 is,
[tex]L.C.M.(8,12)=2\times 2\times 2\times 3=24[/tex]
Therefore the statement in option 1 is incorrect.
The factor of 6 and 9 are,
[tex]6=2\times 3[/tex]
[tex]9=3\times 3[/tex]
Since 3 is common in both but 2 and 3 are not same, therefore the L.C.M. of 6 and 9 is,
[tex]L.C.M.(6,9)=2\times 3\times 3=18[/tex]
Therefore the statement in option 2 is correct.
The factor of 11 and 4 are,
[tex]11=1\times 11[/tex]
[tex]4=2\times 2[/tex]
Since all factor are different, therefore the L.C.M. of 11 and 4 is,
[tex]L.C.M.(11,4)=1\times 11\times 2\times 2=44[/tex]
Therefore the statement in option 3 is incorrect.
The factor of 9 and 10 are,
[tex]9=1\times 9[/tex]
[tex]10=2\times 5[/tex]
Since all factor are different, therefore the L.C.M. of 9 and 10 is,
[tex]L.C.M.(9,10)=1\times 9\times 2\times 5=90[/tex]
Therefore the statement in option 4 is correct.
