Math, asked by noorbashar859, 8 months ago

determine the smallest 3digit number which is exactly divisible by 6, 8 and 12​

Answers

Answered by yograjkain00
0

Answer:

120 is the correct answer

Answered by adwithalakh123
1

Answer:

120

Step-by-step explanation:

To get the number divisible by 6,8 and 12 we have to find the LCM of the numbers

2 | 6 8 12

2 | 3 4 6

2 | 3 2 3

3 | 3 1 3

| 1 1 1

U get LCM as 24

( 2 x 2 x 2 x 3 = 24)

Now we want the smallest multiple of 24 that’s a 3-digit number.

120 is the three digit number as

24*4=96

24*5=120(smallest 3 digit compared to 144)

24*6=144

Therefore, The required three digit number is 120 which exactly divisible by 6,8,12.

Similar questions