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Q.

The LCM and HCF of 87 and 145 by applying the prime factorization method is: 


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a

L.C.M = 435 and H.C.F = 29

b

L.C.M = 422 and H.C.F = 40

c

L.C.M = 412 and H.C.F = 50

d

L.C.M = 488 and H.C.F = 43 

answer is A.

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Detailed Solution

Given 2 numbers 87 and 145.
Prime factorization of 87 is,
Question ImagePrime factorization of 145 is,
Question ImagePrime factors are,
87=3×29= 3 1 × 29 1     145=5×29= 5 1 × 29 1  
L.C.M is,
= 3 1 × 5 1 × 29 1    =3×5×29  
= 435
H.C.F = 29
Therefore, L.C.M is 435 and H.C.F is 29.
Hence, option 1 is correct.
 
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