what is LCM how it can be used
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Least common multiple
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You go out to a grocery store to buy sausages and buns for a hot dog party you're hosting. Unfortunately, sausages come in a pack of 6, and buns in a pack of 8.
What is the least number of sausages and buns you need to buy in order to make sure you are not left with a surplus of either sausages or buns?
The answer is lcm(6, 8) = 24 for obvious reasons. You buy 4 packs of sausages, and 3 of buns.
There would be a lot of similar examples where you have to pair up objects and the package sizes are different and you don't want any "wastage".
Another example would be a scenario where you and your friend are going to a a restaurant. You have lunch there every fourth day, and he has his lunch there every sixth day. How many days before you meet again for lunch at the same restaurant? The answer again is lcm(4, 6) = 12.
A related example for the usage of the greatest common divisor would be tiling rooms. Consider a room with dimension 48 x 56. What is the side of the largest square tile which can tile the room?
The answer in this case is gcd(48, 56) = 8.
You go out to a grocery store to buy sausages and buns for a hot dog party you're hosting. Unfortunately, sausages come in a pack of 6, and buns in a pack of 8.
What is the least number of sausages and buns you need to buy in order to make sure you are not left with a surplus of either sausages or buns?
The answer is lcm(6, 8) = 24 for obvious reasons. You buy 4 packs of sausages, and 3 of buns.
There would be a lot of similar examples where you have to pair up objects and the package sizes are different and you don't want any "wastage".
Another example would be a scenario where you and your friend are going to a a restaurant. You have lunch there every fourth day, and he has his lunch there every sixth day. How many days before you meet again for lunch at the same restaurant? The answer again is lcm(4, 6) = 12.
A related example for the usage of the greatest common divisor would be tiling rooms. Consider a room with dimension 48 x 56. What is the side of the largest square tile which can tile the room?
The answer in this case is gcd(48, 56) = 8.
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