What are least common multiple and what are common multiple also give ...
Least Common Multiple and Common Multiple
Least Common Multiple (LCM) is the smallest multiple that two or more numbers have in common, while Common Multiple is any multiple that two or more numbers have in common.
Least Common Multiple (LCM)
- LCM is the smallest multiple that two or more numbers share.
- It is found by finding the smallest number that is divisible by all the given numbers.
- LCM is often used in mathematics to simplify fractions and solve equations.
- For example, the LCM of 4 and 6 is 12 because 12 is the smallest number that is divisible by both 4 and 6.
Common Multiple
- Common multiple is any multiple that two or more numbers have in common.
- It can be found by listing out the multiples of each number and identifying the numbers that appear in both lists.
- Common multiples are important in finding patterns in numbers and solving problems in mathematics.
- For example, the common multiples of 3 and 4 are 12, 24, 36, etc., as both 3 and 4 are factors of these numbers.
In conclusion, the least common multiple is the smallest multiple that two or more numbers have in common, while common multiples are any multiples that two or more numbers share. These concepts are essential in mathematics for simplifying fractions, solving equations, and finding patterns in numbers.