A number of toffees can be arranged in groups 10, 15 and 20 with five toffees left over. Find the least number of toffees that can be arranged in this way
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YOUR ANSWER IS 60.
EXPLANATION:-
To find the least number of toffees that can be arranged in the given way, We have to fund the LCM of 10, 15 and 20.
So by factorization method we get,
10 = 2×5.
10 = 2×5.15 = 3×5.
10 = 2×5.15 = 3×5.20 = 2×2×5.
Therefore LCM
= 2×3×5×2
= 6×10
= 60
So 60 is the least number of toffees that can be arranged in the groups of 10, 15 and 20.
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