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Question
Can two numbers have 16 as their HCF and 204 as their LCM?
Justify your answer
Can two numbers have 16 as their HCF and 204 as their LCM?
Justify your answer
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Solution
No,
Let X and Y be our two numbers,
And
X=14a
Y =14b
Where a,b are Co prime to each other
To find the LCM,
LCM = 14ab
According to question
LCM = 204
204 = 14ab
14.5714.... = ab
Let X and Y be our two numbers,
And
X=14a
Y =14b
Where a,b are Co prime to each other
To find the LCM,
LCM = 14ab
According to question
LCM = 204
204 = 14ab
14.5714.... = ab
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