a bag of apples is packed into small boxes which can contain 24,30 and 36 apples .find the minimum number of apples in the bag....give answers
Answers
Step-by-step explanation:
360 is your answer and Thanks
please LCM in the three numbers
24,30 and 36
so your answer
right
ok Thanks
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.