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Question

Find the LCM of all the numbers from 1 to 10 (both inclusive)


Solution

 there are 10 numbers including 1 and 10

1 2 3 4 5 6 7 8 9 10

all numbers are divisible by 1

numbers divisible by 8 are also divisible by 2 and 4

numbers divisible by 9 are also divisible by 3 and 6
number 10 is dividible by 5 and 2

so, eliminate the common factors

so, 5 7 8 and 9 are the unique ones

so, 5*7*8*9=2520

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