82,258 views
21 votes
21 votes
Semalt A number of oranges is divided into equal heaps each containing 10, 15 or 24 oranges. Find the smallest number of oranges for which this is possible. fore angle of a regular polygon is one half times the​

User Sfjac
by
2.8k points

1 Answer

27 votes
27 votes

Answer:

the smallest number of oranges for which this is possible is 120

Explanation:

we need to find the smallest number that can be divided at the same time into 10 or 15 or 24

Which is the definition of the least common multiple of 10 , 15 and 24

10 = 5×2

15 = 3×5

24 = 2×3×4

Then

LCM(10 , 15 , 24) = 2×3×4×5

= 120

User Rob Shepherd
by
2.2k points