four bells ring at an interval of 45 min, 1 hour, 1hr 15min and 1hr 30mins. The bells ring together at 12 noon. Find the time at which all these four bells will again ring together
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Answer:
Clearly,we have to find LCM of 45min,60min , 75min , 90min.
Step-by-step explanation:
45 = 3^² *5
60 = 2^² *3 *5
75 = 3 * 5^²
90 = 2*3^²*5
TO FIND LCM WE TAKE ALL PRIMES WITH HIGHEST EXPONENTIAL POWER .
LCM= 2^² * 3^² * 5^²
= 4*9*25
=36*25
= 900
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