Wednesday

January 28, 2015

January 28, 2015

Posted by **carl** on Saturday, February 12, 2011 at 11:35pm.

- math-LCM -
**MathMate**, Sunday, February 13, 2011 at 9:45amThink of the problem of two runners around a 1-kilometer track. Runner A can make one round in 8 minutes, and runner B can do this in 6 minutes. If they start together, when will they meet at the starting point again?

2 | 8, 6

| 4, 3

2*4*3=24

Take the LCM of 8 and 6 to get 24. Runner A would have done 3 laps, while B would have done 4.

The LCM of 225 and 365 can be found in different ways. One way is to find the factors, and eliminate one of the common factors, the other is to do a simple division. Since the numbers are quite large, we will try the second way. The first number is a common divisor, and the second and third are the original numbers.

5 | 225 365 (divide 225 to get 45, etc)

|45 73

Since there are no more common factors, the LCM is 5*45*73, the number of days when Earth and Venus have the new years on the same day again.

**Answer this Question**

**Related Questions**

math - Venus begins a new year every 225 days. Earth begins a new year every 365...

Math - The year 1999 contains 365 days and begins on Friday. Use deductive ...

Math - Suppose the first Friday of a new year is the fourth day of that year. ...

Math - At the South Pole there is no sunshine for 182 days every year, and at ...

Math - A homeowner empties her hot water heater every 36 days and changes the ...

algebra - In the early months of some year, one site added 0.6 million new ...

math - Peter begins his kindergarten year able to spell 10 words. he is going to...

math - tisha works 5 days a week as a paramedic. she has 10 holidays off and 3 ...

English - Sorry I get confuse, the text is this: Chinese new year Chinese people...

c++ - The distance between two cities is 500 miles. Let us call these cities as...