Question

Find the smallest five digit number divisible by each of 16, 24 and 30​

Answer 1

Answer:

the lcm of 16 , 18 , 24, 30 = 720

the least number with five digit = 10000

the remainder of 10000/720 = 640

hence the number is 10000+(720–640)= 10080

Step-by-step explanation:

16 = 2×2×2×2

18 = 2×3×3

24 = 2×2×2×3

30 = 2×3×5

So we need four 2×2×2×2 for sixteen, another 3×3 for 18—these will be enough for 24—and a further 5 for 30. So the least common multiple is 2×2×2×2×3×3×5 = 720.

Now multiply 720 by the smallest number that results in 10,000 or greater. 720×14 = 10,080.

So the answer is 10,080, which is 16×630, 18×560, 24×420, or 30×336.

Answer 2

Step-by-step explanation:

we divide 720 by 10000

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