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Q.


If LCM and HCF of 510 and 92, then LCM × HCF = product of the two numbers.
 


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a

True

b

False 

answer is A.

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Detailed Solution

Given 2 numbers 510 and 92.
Firstly, for H.C.F, find the prime factors of both numbers.
510=2×3×5×17 92=2×2×23  
Since only 2 is the common factor,
H.C.F = 2.
Now, for L.C.M multiplying all unique factors of both number,
=2×2×3×5×17×23 =23460  
L.C.M = 23460
Now, product of both numbers is,
=510×92 =46920  
And the product of H.C.F., L.C.M is
=2×23460 =46920   Since, the product of numbers is equal to the product of H.C.F. and L.C.M.
The given statement is true.
Hence, option 1 is correct.
 
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If LCM and HCF of 510 and 92, then LCM × HCF = product of the two numbers.