Math, asked by Nivaa, 1 year ago

Mia has a large bag of sweets.If she shares the sweets equally among 2,3,4,5 or 6 people there will always be 1 sweet left over.What is the smallest number of sweets there could be in the bag?​

Answers

Answered by chrish73
35

Answer:

The smallest no. of sweets meena has = LCM (2,3,4,5,6)+1 .

= 60 +1 =61 sweets


Nivaa: I didn't understand the LCM part...Why LCM
Answered by FelisFelis
19

The smallest number of sweets is 61.

Step-by-step explanation:

Consider the provided information.

Mia has a large bag of sweets. If she shares the sweets equally among 2,3,4,5 or 6 people.

First find the LCM that will gives us the least number of sweets distributed equally among 2,3,4,5 or 6 people.

2 = 2

3 = 3

4 = 2 × 2

5 = 5

6 = 2 × 3

LCM =  2 × 2 × 3 × 5 = 60.

That means if she has 60 sweets, she can shares them equally among 2,3,4,5 or 6 people.

Now we want to be 1 sweet left over.

So add 1 and 60.

60+1=61.

Hence, the smallest number of sweets is 61.

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