Question

Find the maximum value of n such that
570 x 60 x 30 x 90 x 100 x 500 x 700 x 343 x 720
< 81 is perfectly divisible by 30m
(a) 12
(b) 11
(c) 14
(d) 13
​

Answer 1

Answer:

11

Step-by-step explanation:

30=2*3*5

similarly

570=2*3*5*19

60=2*2*3*5

30=2*3*5

90=2*3*3*5

100=2*2*5*5

500=2*2*5*5*5

700=2*2*5*5*7

343=7*7*7

720=2*2*2*2*3*3*5

81=3*3*3*3

no of 5`s is 12 but no of 3's is limited to 11 thus the answer is 11