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Q: If the LCM of two numbers is 360 and the GCF is 8 and the numbers differ by 32 what are the two numbers?

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You need at least two numbers to find a GCF or an LCM and the LCM of those numbers can never be less than the GCF. 12 and 360 have a GCF of 12 and an LCM of 360. So do 60 and 72.

8 and 360

6 and 360

3 and 360

the lcm for 60 and 72 is 360.

3 and 360

Product of two numbers = LCM x HCF, in this case 360 x 8 ie 2880.Factors of 2880 which differ by 32?40 x 72. Job done

The LCM is 360.

The numbers 12 and 360 fit those criteria.

20 and 24

6 and 8

12 and 8

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