Least Number that is Divisible by all the Numbers from 1 to 10
As discussed above, 2520 is the smallest number that is divisible by all the numbers between 1 and 10. To determine that candidates should have an idea of how to find LCM that is Least Common Factor.
The Least Common Multiple (LCM) is also known as the Least Common Divisor and the Lowest Common Multiple. LCM(a,b) is the smallest positive integer that is evenly divisible by both a and b for two integers a and b.
Example: LCM (2,3,4)
Multiple of 2: 2,4,6,8,10,12,14, and so on.
Multiple of 3: 3,6,9,12,15,18, and so on.
Multiple of 4: 4, 8, 12, 16, 20, and so on
The smallest number that is in bold in the multiples of 2, 3, and 4 is the LCM of 2, 3, and 4.
Find the Least Number that is Divisible by all the Numbers from 1 to 10 (Both Inclusive)
The least number that is divisible by all the numbers from 1 to 10 (Both Inclusive) is 2520. To find number candidates are required to take the LCM of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 by following the steps explained above.
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