To find the numbers which are divisible by 6, 8 and 12, the number should also be divisible by the LCM of these three numbers. So, we will first find the LCM of 6, 8 and 12. This is given by picture 1.
The LCM will be the produc of the prime factors obtained.
LCM (6, 8, 12) = 2 x 2 x 2 x 3 = 24
We will now find the multiples of 24. The first multiple which comes out to be of 3 digits will be our final answer.
Answers & Comments
Answer:
120
Step-by-step explanation:
To find the numbers which are divisible by 6, 8 and 12, the number should also be divisible by the LCM of these three numbers. So, we will first find the LCM of 6, 8 and 12. This is given by picture 1.
The LCM will be the produc of the prime factors obtained.
LCM (6, 8, 12) = 2 x 2 x 2 x 3 = 24
We will now find the multiples of 24. The first multiple which comes out to be of 3 digits will be our final answer.
24 x 1 = 24
24 x 2 = 48
24 x 3 = 72
24 x 4 = 96
24 x 5 = 120
Answer:
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