Question

a bag of apples is packed into small boxes which can contain 24,30 and 36 apples respectively. find the minimum number of apples in the bag ?​

Answer 1

Answer:

The answer is 360

Step-by-step explanation:

First find the lcm of 24, 30,36

Answer 2

Given:

A bag of apples is packed into small boxes which can contain 12, 24 and 30 mangoes respectively.  

To find:

Find the minimum number of apples in the bag.

Solution:

From the given information, we have the data as follows.

The minimum number of apples in the bag is equal to the LCM of 12, 24 and 30 mangoes.

From the given information, we have the data as follows.

Prime Factorization of 24 is:

2 × 2 × 2 × 3  =>  2³ × 3¹

Prime Factorization of 30 is:

2 × 3 × 5  =>  2¹ × 3¹ × 5¹

Prime Factorization of 36 is:

2 × 2 × 3 × 3  ⇒  2² × 3²

Therefore, the LCM of 24, 30 and 36 is calculated as follows.

LCM = 2³ × 3² × 5¹ = 360

Therefore, the minimum number of apples in the bag is 360.