17.What is the least number that is divisible by all the numbers from 1 to 10?
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Step-by-step explanation:
2520. Hint: To find out the least number divisible by all the numbers from 1 to 10 which we need to find out the Least Common Multiple of all the numbers from 1 to 10.
The least number divisible by all the number from 1 to 10 will be the L.C.M of following number,
1=1
2=2×1
3=3×1
4=2×2
5=5×1
6=2×3
7=7×1
8=2×2×2
9=3×3
10=2×5
So, the L.C.M. of these number is 1×2×2×2×3×3×5×7=2520
Hence, the least number divisible by all the numbers from 1 to 10 is 2520
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