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Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons. - Mathematics

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Question

Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

Sum
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Solution

Here the highest common multiple is 18 and the lowest is 380.

Therefore, there do not exist two numbers whose greatest common multiple is 18 and least common multiple is 380.

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Chapter 1: Real Numbers - Exercise 1.2 [Page 4]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.2 | Q 8 | Page 4

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