lowest common multiple
简明释义
最小公倍数
英英释义
The lowest common multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the integers. | 两个或多个整数的最小公倍数是能够被每个整数整除的最小正整数。 |
例句
1.To find the meeting schedule for both teams, we need to calculate the lowest common multiple (最小公倍数) of their work cycles.
为了找到两个团队的会议时间表,我们需要计算它们工作周期的最小公倍数。
2.The teacher asked us to find the lowest common multiple (最小公倍数) of 3, 5, and 7 for our homework.
老师让我们找出3、5和7的最小公倍数作为家庭作业。
3.In math class, we learned how to determine the lowest common multiple (最小公倍数) of two numbers using prime factorization.
在数学课上,我们学习了如何使用质因数分解来确定两个数字的最小公倍数。
4.When planning events, finding the lowest common multiple (最小公倍数) of different time slots can help avoid conflicts.
在计划活动时,找到不同时间段的最小公倍数可以帮助避免冲突。
5.The lowest common multiple (最小公倍数) of 4 and 6 is 12, which helps us synchronize our tasks.
4和6的最小公倍数是12,这帮助我们同步任务。
作文
Understanding mathematical concepts is essential for students, especially when it comes to topics like the lowest common multiple. The lowest common multiple (LCM) is defined as the smallest multiple that is exactly divisible by two or more numbers. This concept is crucial not only in mathematics but also in real-life applications such as finding common schedules, working with fractions, and solving problems that involve ratios.To illustrate the importance of the lowest common multiple, consider a simple example involving two numbers: 4 and 5. The multiples of 4 are 4, 8, 12, 16, 20, and so on. The multiples of 5 are 5, 10, 15, 20, 25, etc. By listing the multiples, we can identify that the smallest number that appears in both lists is 20. Therefore, the lowest common multiple of 4 and 5 is 20.Knowing how to find the lowest common multiple is particularly useful when adding or subtracting fractions. For instance, if we want to add 1/4 and 1/5, we need to find a common denominator. The lowest common multiple of 4 and 5, which is 20, serves as the common denominator. We can convert the fractions: 1/4 becomes 5/20 and 1/5 becomes 4/20. Now, we can easily add them: 5/20 + 4/20 = 9/20. This process illustrates how the lowest common multiple simplifies operations involving fractions.In addition to fractions, the lowest common multiple plays a role in scheduling events. Imagine two friends who want to meet regularly; one is available every 4 days and the other every 5 days. To find out when they will meet again, we need to determine the lowest common multiple of their availability. As calculated earlier, the lowest common multiple is 20, meaning they will meet every 20 days.Moreover, understanding the lowest common multiple helps in solving problems related to ratios. If a recipe requires ingredients in specific proportions, knowing the lowest common multiple allows us to scale the recipe accurately. For example, if a recipe calls for 2 cups of flour and 3 cups of sugar, the lowest common multiple of 2 and 3 is 6. This means we can easily adjust the recipe to make a larger batch while maintaining the correct proportions.In conclusion, the lowest common multiple is a fundamental concept in mathematics that extends beyond the classroom. It aids in fraction operations, event scheduling, and ratio calculations, making it an invaluable tool for students and anyone who deals with numbers. By mastering the lowest common multiple, one can enhance their problem-solving skills and apply mathematical reasoning in everyday situations. Understanding this concept not only enriches mathematical knowledge but also empowers individuals to tackle various challenges with confidence and clarity.
理解数学概念对学生来说至关重要,尤其是像最小公倍数这样的主题。最小公倍数(LCM)被定义为可以被两个或多个数字整除的最小倍数。这个概念在数学中至关重要,也在现实生活中的应用中发挥着重要作用,例如寻找共同的时间表、处理分数和解决涉及比率的问题。为了说明最小公倍数的重要性,我们考虑一个简单的例子,涉及两个数字:4和5。4的倍数是4、8、12、16、20,等等。5的倍数是5、10、15、20、25,等等。通过列出倍数,我们可以识别出在两个列表中都出现的最小数字是20。因此,4和5的最小公倍数是20。知道如何找到最小公倍数在加减分数时特别有用。例如,如果我们想要添加1/4和1/5,我们需要找到一个共同的分母。4和5的最小公倍数是20,作为共同的分母。我们可以转换分数:1/4变成5/20,而1/5变成4/20。现在,我们可以轻松地将它们相加:5/20 + 4/20 = 9/20。这个过程说明了最小公倍数如何简化涉及分数的运算。除了分数之外,最小公倍数在安排事件时也起着作用。想象一下两个朋友想要定期见面;一个每4天有空,另一个每5天有空。为了找出他们何时会再次见面,我们需要确定他们可用性的最小公倍数。正如之前计算的那样,最小公倍数是20,这意味着他们每20天见一次面。此外,理解最小公倍数有助于解决与比率相关的问题。如果一个食谱要求按特定比例使用原料,知道最小公倍数可以让我们准确地调整食谱。例如,如果一个食谱需要2杯面粉和3杯糖,那么2和3的最小公倍数是6。这意味着我们可以轻松调整食谱以制作更大的一批,同时保持正确的比例。总之,最小公倍数是数学中的一个基本概念,它超越了课堂。它有助于分数运算、事件安排和比率计算,使其成为学生和任何数字工作者的宝贵工具。通过掌握最小公倍数,人们可以增强解决问题的能力,并在日常情况下应用数学推理。理解这一概念不仅丰富了数学知识,还使个人能够自信而清晰地应对各种挑战。
相关单词