Question

The question is

"Mia has a large bag of sweets, If i share the sweets equally among 1,2,3,4,5 or 6 people, there will always be 1 sweet left over"
with step by step pls :(

Answer 1

61

or

421

Explanation:

Find the L.C.M. of 2,3,4,5,6 and add 1.

2| 2-3-4-5-6

-------------------

2| 1-3-2-5-3

---------------------

3| 1-3-1-5-3

----------------------

5| 1-1-1-5-1

----------------------

| 1-1-1-1-1-1

L.C.M.=2×2×3×5=60

reqd. number=60+1=61

if i distribute between 2,3,4,5,6 people then reqd number is 61

if Mia is also among those people or she gets also share

then the people are2,3,4,5,6 or 7

L.C.M. of 2,3,4,5,6,7=60×7=420

so reqd number is 420+1=421