![Let x be the least number divisible by 24, 30, 36, 45 and 50 and x is also a perfect square](https://www.gkseries.com/blog/wp-content/uploads/2024/04/Let-x-be-the-least-number-divisible-by-24-30-36-45-and-50-and-x-is-also-a-perfect-square.jpg)
Let x be the least number divisible by 24, 30, 36, 45 and 50 and x is also a perfect square. What is the remainder when x is divided by 233?
(a) 55
(b) 105
(c) 170
(d) 103
Sol:
L.C.M of (24, 30, 36, 45, 50) = 1800 = 900× 2
For a perfect square = 900 × 2 × 2 = 3600
Remainder=3600/233=15 105/233