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

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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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