The least number that when divided by 9, 16, 20 and 24, leaves 3 as remainder in each case is:
Given:
A number divided by 9, 16, 20 , 24 leaves remainder 3
Solution:
LCM of 9, 16, 20, and 24, the prime factorization of each number:
9=32
16=24
20=22× 5
24=23× 3
So, LCM = 24×32×5= 16× 9×5= 720
Since, 3 is remainder
Then, 720 + 3 =723
Thus, the number is 723
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