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Q.


If LCM and HCF of 336 and 54, 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 336 and 54.
Firstly, for H.C.F find the prime factors of both numbers.
336=2×2×2×2×3×7 54=2×3×3×3   Since, 2 and 3 are common factors.
H.C.F is
=2×3 =6  
Now, for L.C.M multiplying all unique factors of both number,
=2×2×2×2×3×3×3×7 =3024  
L.C.M = 3024
Now, product of both numbers is,
=336×54 =18144  
And the product of H.C.F., L.C.M is,
=3024×6  
= 18144
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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