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Name Date Multiplication and Exponents The Least Common Multiple List the first 5 multiples of each number. 3, 6, 9, 12, 15 A. 3 B. 7 C. 18 D. 35 E. 13 F. 21 Circle the multiples of each number. G.
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How to fill out least common multiple
Point by point guide on how to fill out the least common multiple (LCM):
01
Understand the concept: The least common multiple is the smallest multiple that two or more numbers have in common. To find the LCM, you need to determine the smallest number that is divisible by all the given numbers.
02
Identify the numbers: Begin by identifying the numbers for which you need to find the LCM. Let's say we have two numbers, 12 and 18, as an example.
03
Find the prime factors: Break each number down into its prime factors. Prime factors are the prime numbers that, when multiplied together, give you the original number. For 12, the prime factors are 2 and 3, as 2 * 2 * 3 = 12. For 18, the prime factors are 2 and 3, as 2 * 3 * 3 = 18.
04
Determine the highest powers: Compare the prime factors and identify the highest power of each prime factor. In our example, both 12 and 18 have 2 and 3 as prime factors. However, 18 has two 3's, while 12 only has one. So, we take the highest power of each prime factor - two 2's and two 3's.
05
Multiply the highest powers: Multiply the highest powers of each prime factor together to get the LCM. In our example, 2 * 2 * 3 * 3 = 36. Therefore, the least common multiple of 12 and 18 is 36.
Who needs the least common multiple?
01
Mathematics students: Students studying mathematics, specifically number theory or arithmetic, need to understand and calculate the least common multiple. It is a fundamental concept in mathematical operations and problem-solving.
02
Teachers: Educators teaching mathematics need to have a clear understanding of the least common multiple to effectively explain and teach the concept to their students.
03
Engineers: Engineers working on projects involving time, distance, or intervals often need to find the least common multiple. It helps them synchronize or coordinate various elements, such as timing or scheduling events.
04
Economists: Economists dealing with financial calculations may encounter situations where they need to determine the least common multiple. For example, when comparing repayment plans or analyzing interest rates.
05
Data analysts: Professionals working with data analysis may use the LCM to identify patterns or recurring events within a dataset. It can be useful in identifying or predicting cycles, trends, or patterns.
In conclusion, understanding how to calculate the least common multiple is important for students, teachers, engineers, economists, and data analysts, among others. It is a valuable mathematical concept that is widely used in various fields and problem-solving scenarios.
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What is least common multiple?
The least common multiple is the smallest positive integer that is divisible by two or more given numbers.
Who is required to file least common multiple?
In mathematics, anyone dealing with multiples and their relationships may need to calculate the least common multiple.
How to fill out least common multiple?
To find the least common multiple of two or more numbers, you can use the prime factorization method or the ladder method.
What is the purpose of least common multiple?
The least common multiple is used to find a common multiple for two or more numbers.
What information must be reported on least common multiple?
The numbers for which you want to find the least common multiple must be reported on the least common multiple calculation.
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