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45=3^2*5 60=2^2*3*5 let the third number =x x=2^a*2^b if x=3, x=3 lcm of 3,45 and 60=2^2*3^2*5=180 hcf of 3,45 and 60=3 if x=2*3, x=6 lcm of 6,45 and 60=2^2*3^2*5=180 hcf of 6,45 and 60=3 if x=3^2, x=9 lcm of 9,45 and 60= 2^2*3^2*5=180 hcf of 9,45 and 60=3