Question

Find the three digit number which exactly divisible by 6,8 and 12.

Answer 1

taking out LCM of 6, 8 and 12 by prime factorization method.
LCM of 6, 8 and 12 = 24

largest 3 digit number = 999

dividing 999 by 24
the remainder comes out by dividing 999 by 24 is 15.

subtracting 15 from 999
= 999 - 15
= 984

984 is the largest 3 digit number which can be divided by 6, 8 and 12.
______________________________

finding least three digit number which can be divided by 6, 8 and 14

LCM of 6, 8 and 12 = 24

least 3 digit number = 100

dividing 100 by 24
reminder comes out by divide 100 by 24 is 4
24 - 4 = 20

100+20 = 120

120 is that least three digit number which can be divided by 6, 8 and 12.

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