A teacher wants to celebrate children's day by distributing sweets to her students. W lat
is the minimum number of sweets that she has to buy in order to distribute either 9 or 12
or 15 sweets to each student?
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2
Answer:
9 should be the minimum number of sweet She has to buy for her students
Answered by
0
Answer:
The minimum number of sweets that she has to buy in order to distribute either 9 or 12 or 15 sweets to each student is 180.
Step-by-step explanation:
- The LCM or the Lowest Common Multiple of two or more numbers is the least common multiples of the given numbers. For example, LCM of 2, 4 and 5 is 20, as it is the lowest common multiple of 2, 4 and 5. Hence, we can say that 20 is the lowest number by which 2, 4 and 5 can be divide.
- Let the minimum number of sweets that the teacher has to buy in order to distribute either 9 or 12 or 15 sweets to each student be x.
- Now, x must be a multiple of 9, 12 and 15.
- As, we have to find out the minimum number of sweets, then x is the LCM of 9,12 and 15.
9 = 3×3
12 = 2×2×3
15 = 3×5
- Hence the LCM of 9,12 and 15 = 2×2×3×3×5 = 180
- So, we can conclude that , the minimum number of sweets that she has to buy in order to distribute either 9 or 12 or 15 sweets to each student is 180.
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