Q.

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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a

True

b

False 

answer is A.

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Detailed Solution

Given 2 numbers 902 and 1517.
Prime factorization of 902 and 1517 is,
Question ImagePrime factors of 902 and 1517 are,
902=2×11×41  902=  2 1 ×11× 41 1 1517=37×41 1517 =  37 1 × 41 1  
The L.C.M of 902 and 1517 is,
2 1 × 11 1 × 37 1 × 41 1 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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