a bag of Apple is packed into small box which can contain 24 30 and 36 Apple respectively find the maximum number of apple in the bag
Answers
Answer:
the scientific study of natural forces such as light, sound, heat, electricity, pressure, etc.
Answer:
Given:
A bag of apples is packed into small boxes which can contain 24, 30 and 36 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 24, 30 and 36 apples.
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.