Finding the LCM of 18 and 24 Using Prime Factors
Find the least common multiple (LCM) of and using the Prime Factors Method. Step 1. List the prime factorization for both numbers: and . Step 2. Match the prime factors vertically in columns: Step 3. Bring down one factor from each column: , , , , and . Step 4. Multiply all the factors together to compute the LCM: . The least common multiple of and is .
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Example of Finding the Least Common Multiple Using the Prime Factors Method
Finding the LCM of 9 and 12 Using Prime Factors
Finding the LCM of 18 and 24 Using Prime Factors
Finding the LCM of 12 and 18 Using Prime Factors
A logistics coordinator is using the Prime Factors Method to find the least common multiple (LCM) of two delivery schedules. Arrange the steps below in the correct order to successfully perform this method.
An operations manager is using the Prime Factors Method to find the smallest common multiple (LCM) of two different delivery schedules. After writing each schedule's length as a product of prime numbers and matching identical primes vertically in columns, what is the correct rule for selecting the factors to be multiplied?
A facility manager is using the Prime Factors Method to find the Least Common Multiple (LCM) for two equipment maintenance cycles of 12 hours and 15 hours. True or False: According to this method, if a column in the vertical alignment of prime factors contains a prime factor that appears in the factorization of only one of these cycles, that prime factor should be omitted and not brought down for the final multiplication.
A logistics coordinator is using the Prime Factors Method to find the least common multiple for two different delivery schedules. Match each technical term used in this method with its corresponding action.
Applying the Columns Rule in the Prime Factors Method
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A logistics coordinator is scheduling two different delivery cycles. Cycle A runs every 18 days, and Cycle B runs every 24 days. According to the Prime Factors Method, what is the least common multiple (LCM) of 18 and 24?
An operations supervisor needs to determine when two manufacturing machines will next require simultaneous recalibration. Machine A is calibrated every days, and Machine B is calibrated every days. To find the least common multiple (LCM) of these intervals using the Prime Factors Method, arrange the required steps in the correct order.
A supply chain coordinator is synchronizing two delivery cycles: one that repeats every 18 days and another every 24 days. To determine the next day both deliveries will arrive together, the coordinator calculates the least common multiple (LCM) using the Prime Factors Method. Match each part of the calculation to its correct mathematical expression or result.
An operations coordinator is synchronizing two production lines with maintenance cycles of and days. To find the next day both lines will be serviced together, the coordinator identifies the set of prime factors to be multiplied: . According to the Prime Factors Method, the resulting least common multiple (LCM) is ____.
A maintenance supervisor is using the Prime Factors Method to find the least common multiple (LCM) of two equipment cycles that run every and hours. The supervisor determines that the LCM is calculated by multiplying the factors , resulting in an LCM of .