FIND THE GREATEST 3 DIGIT NUMBER DIVISIBLE BY THE GIVEN NUMBERS

Problem 1 :

Determine the greatest 3 digit number which is exactly divisible by 6, 8 and 12.

Solution :

By finding the least common multiple of 6, 8 and 12

LCM (6, 8 and 12) = 24

By dividing 1000 (least four digit number) by 24, we get

1000 - 16 ==> 984

So, 984 is the greatest 3 digit number which is divisible by 24.

Problem 2 :

Find the greatest 3 digit number exactly divisible by 8, 10 and 12.

Solution :

LCM (8, 10 and 12) = 120

1000 - 40 ==> 960

So, 960 is greatest 3 digit number which is divisible by 120.

Problem 3 :

Find the greatest 4 digit number which is divisible by 18, 24 and 32.

Solution :

LCM (18, 24 and 32)

LCM = 288

The greatest 5 digit number is 100000.

10000 - 208 ==> 9792

So, 9792 is the greater four digit number divisible by 18, 24 and 32.