Math, asked by bhawanafhhgh, 8 months ago

Find the greatest number of 3 digits that can be exactly divided by 75, 45 and 60

Answers

Answered by suyash8769861272
6

Answer:

900

Step-by-step explanation:

Total numbers = 3 ( 45, 60 and 75) (Given)

The formula used can be = n(LCM of the no.s) + remainder required

Finding the L.C.M of given numbers -  

75 = 3 × 5²

45 = 3² × 5

60 = 2² × 3 × 5

Thus, L.C.M = 2² × 3² × 5²

Therefore, L.C.M = 900

Now, if we divide 999 by 900 we will get 99 as remainder. So the 3 digit number exactly divisible by by 75,45 & 60

= 999 -99

= 900

Thus, 900 is the greatest 3 - digit no. which is exactly divisible by 75 , 45 and 60.

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