Question

A piece of rope can be cut into an exact number of 6 m lengths.

Answer 1

Answer:

24 meters

Step-by-step explanation:

To get the answer, we need to find the LCM (Lowest Common Multiple)

Multiples of 6:  6 12 18 24 30 36 .....

Multiples of 8:  8 16 24 32 40 48 .....

From above, we can find the LCM, which is 24.

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Answer 2

Answer:

24 m

Step-by-step explanation:

the smallest common multiple of 6 and 8.

I know already what that is (24) based on experience, but let's do this formally via prime factoring :

6 ÷ 2 = 3

3 ÷ 2 no

3 ÷ 3 = 1 finished

8 ÷ 2 = 4

4 ÷ 2 = 2

2 ÷ 2 = 1 finished

6 = 2 × 3

8 = 2 × 2 × 2

the smallest common multiple is the combination of the longest streaks per prime factor.

and that is 3 times a 2 and 1 time a 3 :

2 × 2 × 2 × 3 = 24 m