Mala and Gopi have brought clo distribute in an Old-age Home. to The residents there are divided into 2 groups: A and B. There are 10 people in group A and 15 in group B. If each group is given an equal number of clothes, and every member of a group receives the same number of clothes, what is the least number of clothes that Mala and Gopi must have brought?
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Answer:
The LCM of 10 and 15 is the product of the highest powers of all the prime factors present in both numbers. In this case, the LCM is 2 * 3 * 5 = 30. So, Mala and Gopi must have bought at least 30 clothes to distribute equally among the two groups.
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