7) The students in a class can be divided into groups of 2, 3, 5, and 6. What is the
least number of children this class can have? [2]
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Answer:
30
Step-by-step explanation:
As it's given the class can be divided into groups of 2,3,5 and 6.
So we have to find LCM(Least Common Factor) of 2,3,5 and6 .
LCM of 2,3,5 and 6=
|2,3,5,6
2|1, 3,5,3
3|1, 1,5, 1
5|1, 1, 1, 1
So the common factors are 2,3 and 5.
Hence, the least number of children the class can have = 2×3×5=30.
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