find the greatest number of 5 digits that is exactly divisible by 14, 18, 28, 48 and 60.
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The greatest number of 5 digits that is exactly divisible by 14, 18, 28, 48 and 60 is 95760.
Step-by-step-explanation:
we all know that greatest 5 digit number is 99999
Take LCM of 14, 18, 28, 48, 60
14 = 2*7
18 = 2*3*3
28 = 2*2*7
48 = 2*2*2*2*3
60 = 2*2*3*5
LCM(14, 18, 28, 48, 60) = 2⁴*3²*5*7 = 5040
now divide 99999 ÷ 5040
we get, quotient = 19 and remainder = 4239
now subtract 99999 - 4239 = 95760 Ans.
the greatest number of 5 digits that is exactly divisible by 14, 18, 28, 48 and 60 is 95760
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