Question

Two whole numbers have a least common multiple (LCM) of 40.

Answer 1

The two numbers are 10 and 8.

please see the attached picture for full solution

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Good luck on your assignment...

Answer 2

Answer:

10 and 8

Step-by-step explanation:

Case 1:

20 and 2

20 = 2^2 x 5

2   = 2^1

=> LCM = 2^2 x 5 = 20 (not 40)

=> Incorrect pair of numbers

Case 2:

10 and 8

10 = 2 x 5

8  = 2^3

=> LCM = 2^3 x 5 = 40

=> GCF = 2

=> Correct pair of numbers

Case 3:

10 and 4

10 = 2 x 5

4  = 2^2

=> LCM = 2^2 x 5 = 20 (not 40)

=> Incorrect pair of numbers

Case 4:

8 and 5

8 = 2^3

5 = 5 x 1

=> GCF = 1 (not 2)

=> Incorrect pair of numbers

Hope this helps!

:)