werewolfangel
contestada

Nick, Sam and Victor are members of the local sports club. Nick goes to the club every third day, Sam goes every seventh day and Victor goes every fifth day. If all three of them went to the club today, when is the next time that they will all be at the club on the same day?

Respuesta :

MsHamel

Answer:

105 days

Step-by-step explanation:

The answer must be divisible by both 3, 5, and 7. The smallest number divisible by all three is 105

105/3 = 35

105/7 = 15

105/5 = 21

LCM stands for Least Common Multiple. The next time when Nick, Sam, and Victor will meet will be after 105 days.

What is LCM?

The smallest positive integer that is divisible by both a and b is the least common multiple, lowest common multiple, or smallest common multiple of the two numbers a and b, generally abbreviated as LCM.

Given that Nick goes to the sports club every three days, Sam goes to the sports club every seventh day, and Victor goes to the club every fifth day. Therefore, to find the next day when all of them will meet together can be found by taking the LCM of 3,5, and 7.

Since all the numbers are prime numbers, therefore, the LCm will be the product of the three numbers. Thus, the LCM of 3,5, and 7 are 105.

Thus, the next time when Nick, Sam, and Victor will meet will be after 105 days.

Learn more about LCM:

https://brainly.com/question/20739723

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