can two numbers have 18 and as their HCF and 380 as their LCM? give reasons.
Answers
Answered by
1615
No, two numbers can't have 18 as their HCF and 380 as LCM because HCF of the numbers must be a factor of the LCM.
Since 18 is not a factor of 380, it is not possible.
Since 18 is not a factor of 380, it is not possible.
Answered by
657
Answer:
Its not possible for any number to have "18" as “HCF” and "380" as their “LCM” respectively.
To Determine:
Whether any two numbers have their "HCF" as "18" and their "LCM" as "380".
Solution:
HCF tends to be the factor of given LCM
So here HCF = 18 and LCM = 380
Let’s check whether 18 is a factor of the given HCF "380"
380/18 = 21.111
Hence two numbers can’t have “18” as their "HCF" and “380” as their "LCM".
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