Answer:
Shane and Terrence will get their hair cut on the same day 24 weeks from now.
Step-by-step explanation:
Least Common Multiple (LCM)
It's the smallest positive number that is a multiple of two or more numbers. For example, let's find the LCM of 15 and 25:
Multiples of 15: 15,30,45,60,75,90,...
Multiples of 25: 25,50,75,100,...
Note 75 is a common multiple of both and is also the smallest possible.
To find the LCM we can follow this procedure:
- List the prime factors of each number.
- Multiply each factor the greatest number of times it occurs in either number.
Shane gets his hair cut every 6 weeks, Shane gets his hair cut every 8 weeks. We know one Saturday, they both had their hair cuts. We need to find when will be the next time they both have their hair cut.
Let's find the LCM of 6 and 8:
6=2*3
8=2*2*2
Multiply each factor the greatest number of times it occurs in either number, thus LCM=2*2*2*3=24
Shane and Terrence will get their hair cut on the same day 24 weeks from now.
