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

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asked Apr 12, 2017 in Mathematics by Annu Priya (18,055 points) ● 24 ● 45 ● 82

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answered Apr 12, 2017 by vikash (21,277 points) ● 4 ● 19 ● 70
 
Best answer

Solution:
No.
Justification:
HCF of two numbers is always a factor of
their LCM.
But here 18 is not a factor of 380.

So, Two numbers cannot have 18 as their HCF
and 380 as their LCM.

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