If LCM and HCF of 336 and 54, then LCM × HCF = product of the two numbers.

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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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