Question

Can someone help me with the 23 and 24 please ( with process )

Answer 1

23. the smallest number divisible by any two or more numbers is the LCM of all those numbers
so,LCM of 15,20,24,32,36 is 2×2×2×2×2×3×3×5×5=7200
24.lcm of 25,40,60 is 600
now, the least number which gives a reminder of 9 when divided by 25,40,60=600+9=609
hence I think my answer will help you
plz mark as brain list if u like it

Answer 2

(23).

Here, We have to take the LCM of 16,18,24 and 30.

= > Prime factorization of 16 = 2 * 2 * 2 * 2

= > Prime factorization of 18 = 2 * 3 * 3

= > Prime factorization of 24 = 2 * 2 * 2 * 3

= > Prime factorization of 30 = 2 * 3 * 5

LCM(16,18,24,30) = 2 * 2 * 2 * 2 * 3 * 3 * 5

                             = 720.

We know that smallest five digit number is 10000.

Now,

Divide 10000 by 720, we get

= > 10000/720

= > 13.8

= > ~14.

Now,

= > 14 * 720

= > 10080.

Therefore, the smallest 5 digit number is 10080.

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(24)

Here, we have to find the LCM of 9,12,15,18 and 24.

= > Prime factorization of 9 = 3 * 3

= > Prime factorization of 12 = 2 * 2 * 3

= > Prime factorization of 15 = 3 * 5

= > Prime factorization of 18 = 2 * 3 * 3

= > Prime factorization of 24 = 2 * 2 * 2 * 3

LCM(9,12,15,18,24) = 3 * 3 * 2 * 2 * 2 * 5

                              = 360.

We know that largest 5 digit number is 99999.

Divide 99999 by  360

= > 99999/360

= > ~277.

Now,

= > 277 * 360

= > 99720.

Therefore, the largest 5 digit number is 99720.

Hope this helps!