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Q.


State true or false.

If LCM and HCF of 26 and 91, 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 two numbers 26 and 91.
Firstly, for H.C.F, find the prime factors of both numbers.
26=2×13 91=7×13  
Since only 13 is common factor,
H.C.F = 13.
Now, for L.C.M multiplying all unique factors of both number,
=2×7×13 =182  
L.C.M = 182
Now, product of both numbers is:
= 26×91  
=2366
And the product of H.C.F, L.C.M is:
=182×13  
=2366
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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