determine the smallest 3digit number which is exactly divisible by 6, 8 and 12
Answers
Answered by
0
Answer:
120 is the correct answer
Answered by
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
Physics,
4 months ago
Math,
4 months ago
Math,
4 months ago
India Languages,
8 months ago
Hindi,
8 months ago
Social Sciences,
11 months ago
English,
11 months ago