Find a combination of positive integers a b c and d such that their sum is 1000, And their LCM is the least amongst LCMs of all such combinations.
Attachments:
Answers
Answered by
70
Minimum LCM will be when all four are equal. a = b = c = d = 1000/4 = 250.
LCM(a, b, c, d) = 250.
Since all numbers are equal, the LCM is one of the numbers.
Suppose one number, say "a" is decreased by x then one of b, c or d has to increase at least by 1. Then LCM will be more than 250.
<br />For such questions involving multiple integers , try a combination when all numbers are equal.
<br />Then try other combinations. You will get some understanding.
Answered by
2
Answer:
hope this answer useful to you mate
Attachments:
Similar questions