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Question
Find the least number that is divisible by all the numbers between 1 and 10 (both inclusive).
Solution
TO FIND: Least number that is divisible by all the numbers between 1 and 10 (both inclusive)
Let us first find the L.C.M of all the numbers between 1 and 10 (both inclusive)
1 = 1
2 = 2
3 = 3
4 = 22
5 = 5
6 = 2 × 3
7 = 7
8 = 23
9 = 32
10 = 2 × 5
L.C.M = 2520
Hence 2520 is the least number that is divisible by all the numbers between 1 and 10 (both inclusive)
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