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Math challenge Number Theory I-B

 
 
LinAmber的头像
Math challenge Number Theory I-B
LinAmber - 2019年08月6日 Tuesday 15:11
 

I don't know how to solve in Chapter 6:

6.21 and 6.22

 
ReynosoDavid的头像
Re: Math challenge Number Theory I-B
ReynosoDavid - 2019年08月7日 Wednesday 18:34
 

6:21. Use the fact that $3! = 3 \times 2!$ and $4! = 4 \times 3 \times 2!$ to factor out $2! + 4! + 5!$. You can do something similar with the other one.

6.22: Factor out each of the numbers using prime numbers and look at the prime numbers that were used (along with their exponents). The LCM will be the product of all the distinct prime numbers with the largest exponents you got in the prime factorizations.