Question 106219
The number is the LEAST COMMON MULTIPLE of 1,2,3,4,5,6,7,8,9, and 10

To compute the LCM, first let's find the prime factorizations.

{{{1=1}}}

{{{2=2}}}

{{{3=3}}}

{{{4=2^2}}}

{{{5=5}}}

{{{6=2*3}}}

{{{7=7}}}

{{{8=2^3}}}

{{{9=3^2}}}

{{{10=2*5}}}


As you can see the common multiples are 2 and 3.But, the greatest power of 2 calculated is {{2^3}}} and for 3, {{{3^2}}}

We multiply them both.

{{{2^3 * 3^2=8*27=216}}}


let's also multiply the OTHER factors----5 and 7


{{{216*5*7=216*35=7560}}}


Therfore, the number you're up to is 7560


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