Litany of Lights 

15101520253015
1015202530151015
2025301510152025
3015101520253015
1015202530151015
20253015101520
25301510152025301
510152025301510
1520253015101520
2530151015202530
15101520253015
1015202530151015
2025301510152025
3015101520253015
1015202530151015
20253015101520
25301510152025301
510152025301510
1520253015101520
2530151015202530

The above matrix is composed of repeated rows of 30 LEDs. Suppose LED 1 flashes precisely once each second, LED 2 each two seconds, and so on up to LED 30 which flashes each 30 seconds. When will all the LEDs light simultaneously?

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