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2.

3,7,14

                

(I)Find the lowest common multiple for the numbers in Diagram 1.

2 | 3, 7,14

   --------

7 | 3, 7,7

   --------

    3 | 3,1,1

   --------

1,1,1

   

    

(II)If all numbers in Diagram 1 is multiple by 2,what is the new value of the lowest common multiple?

3×2=6

7×2=14

14×2=28

答案是6。

(III) Without conducting repeated division,state the new LCM if each of the numbers in Diagram 1 is multipled by 7.Give your reason.

3×7=21

7×7=49

14×7=98

理由可以帮我回答一下吗?帮我检查答案。

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(I)Find the lowest common multiple for the numbers in Diagram 1.

   7 |3, 7,14
        ---------------
          3,1,2

   LCM = 7 x 3 x 1 x 2 = 42

(II)If all numbers in Diagram 1 is multiple by 2,what is the new value of the lowest common multiple?

2 |6, 14, 28
     ---------------
7  |  3,  7,  14
     ---------------
       3,  1,  2

LCM = 2 x 7 x 3 x 1 x 2 = 84

(iii) Without conducting repeated division,state the new LCM if each of the numbers in Diagram 1 is multipled by 7.Give your reason

From (i) the LCM = 42

From (ii), the value times 2, the LCM is also LCM (i) x 2 = 24 x 2.

So, if in (iii), to find out the new LCM after multiplying with 7,
we can use the LCM (i) x 7 = 42 x 7 = 294

The LCM for (iii) is 294
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(II)If all numbers in Diagram 1 is multiple by 2,what is the new value of the lowest common multiple?

3×2=6

7×2=14

14×2=28

答案是84。

III)LCM:294

reason;不知道要怎么用英文解释(●'◡'●)

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