Tell whether the following statement is true or false:

For the numbers 902 and 1517, LCM $×$ HCF = Product of two numbers

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True

False

answer is A.

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Detailed Solution

Given 2 numbers 902 and 1517.
Prime factorization of 902 and 1517 is,
Question Image

Prime factors of 902 and 1517 are,

902 = 2 × 11 × 41 902 = 21 × 11 × 411 1517 = 37 × 41 1517 = 371 × 411

The L.C.M of 902 and 1517 is,

⇒ 21 × 111 × 371 × 411 ⇒ 2 × 11 × 37 × 41 ⇒ 33374

The L.C.M is 33374.
The H.C.F is 41
Putting the values in expression,
L.C.M × H.C.F = Product of two numbers

⇒ 33374 × 41 = 902 × 1517

⇒ 1368334 = 1368334

⇒

L.H.S = R.H.S
Given statement is true.
Hence, option 1 is correct.

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