Math, asked by achhi3094, 1 year ago

find the greatest 5 digit number that is exactly divisible by 3, 4, 5 and 7

Answers

Answered by littyissacpe8b60
14

greatest 5 digit number = 99999

LCM of 3,4,5,7 = 420

99999 ÷ 420 = 238 comes as quotient and reminder is also there.

So we multiply 420 with 238

420  x 238 = 99960 is greatest 5digit number.

(you can also find answer by subtracting the reminder from 99999)

Answered by tardymanchester
3

Answer:

The greatest 5 digit number that is exactly divisible by 3, 4, 5 and 7 is 99960

Step-by-step explanation:

Given : Number 3,4,5 and 7

To find : The greatest 5 digit number that is exactly divisible by 3, 4, 5 and 7

Solution :

The greatest 5 digit number is 99999

But this not divisible by all the given numbers.

First we find the LCM of 3,4,5 and 7

LCM(3,4,5,7)=3\times 4\times 5\times 7=420

Now, divide 99999 with 420

\frac{99999}{420}=238.09

Taken approx. number 238

Then multiply 238 with 420

238\times 420=99960

Therefore, The required number which is divisible by 3,4,5 and 7 is 99960.

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