First, in order to find the least common multiple of two integers, we can use a method called "division by phase". The steps of this method are as follows:
1, divide the larger number by the smaller number to get the remainder.
2. Repeat the first step by taking the smaller number and the remainder as the new larger number and smaller number.
3. When the remainder is 0, the divisor in the last division is the least common multiple of these two numbers.
Second, for example:
For 6 and 10, we can find their least common multiple by division. First, 10 is divided by 6 to get a remainder of 4. Then, we take 6 and 4 as new large numbers and small numbers, and divide them again. 6 divided by 4 gives a remainder of 2. Then, we take 4 and 2 as new large numbers and small numbers, and continue to divide by turns. Divide 4 by 2 to get a remainder of 0. At this point, the divisor 2 in the last division is the least common multiple of 6 and 10.
In addition to division, we can also use the formula method to find the least common multiple. For two integers a and b, their least common multiple can be expressed as a×b÷GCD(a, b), where GCD(a, b) represents the greatest common divisor of a and b. For example, for integers 6 and 10, their least common multiple is 6× 10÷GCD(6, 10)=30.
Methods of learning mathematics
1, do a good job in preview: understand the learning content in the recent stage through unit preview, understand the specific content to be learned through class preview, and pay attention to the formation process of knowledge. For difficult concepts, formulas and rules, we should make a good record so as to pay more attention to these difficulties in the course of listening to lectures.
2. Listen carefully: Listening, thinking and remembering should be included in class. Listen to the ins and outs of knowledge, the solutions and requirements of examples, the mathematical ideas and methods contained, and the class summary. At the same time, we should be good at association, analogy and induction, dare to question, ask questions and make bold guesses. Pay attention to the key, difficult and error-prone points in the process of listening to lectures, and arrange notes in time.