find the least number that is divisible by all the numbers between 1 and 10

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Question

find the least number that is divisible by all the numbers
between 1 and 10

Varun.Rawat · Accepted Answer

The least number divisible by all the numbers from 1 to 10 is the least common multiple of all the numbers from 1 to 10

Prime factorization of:

$1 = 1 2 = 2 3 = 3 4 = 2^{2} 5 = 5 6 = 2 � 3 7 = 7 8 = 2^{3} 9 = 3^{2} 10 = 2 � 5$

Thus the least common multiple of all the numbers from 1 to 10 is $2^{3} � 3^{2} � 5 � 7 = 2520$

Thus, the least number that is divisible by all the numbers between 1 and 10 is 2520