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(a)

The number with the highest indices of A(25  * 52 * 7), B( 2 * 32 * 5 * 7)      and C (22  * 52 * 7)              are 25, 32, 52 and 7. Multiplying these numbers together give LCM.

 

So LCM = 25 *  32  *  52 *  7

(b)

    2  * 5 * 7                |              25  * 52 * 7                   2 * 32 * 5 * 7                      22  * 52 * 7

                                                      24  * 5                              32                                            2  * 5 

HCF =   2  * 5 * 7  

(c) 

B =  2 * 32 * 5 * 7 

k = 2 * 5 * 7 = 70 as

Bk = (2 * 3  * 5 * 7 )2

 

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