what is the least common multiple of 3 and 9

LCM of 3 and 9LCM of 3 and 9 is the smallest of all common multiples of 3 and 9. The first multiples of 3 and 9 are (3, 6, 9, 12, 15,…) and ( 9, 18, 27, 36, 45, 54, 63,…). There are 3 commonly used methods to find the LCM of 3 and 9 – by division, by prime factors, and by enumerating multiples. 1. LCM of 3 and 9 2. List of methods 3. Solved examples 4. FAQAnswer: The LCM of 3 and 9 is 9. Read: what is the most common multiple of 3 and 9 Explanation: Read more: What are healing foods? ) without any residuals. Let’s see the different methods to find the LCM of 3 and 9.

  • According to the division method
  • According to the prime factorization method
  • By multiples of the list

LCM of 3 and 9 by Division Method

LCM of 3 and 9 by Division MethodTo calculate the LCM of 3 and 9 using the division method, we divide the numbers (3, 9) by their prime factors (preferably common). The product of these divisors for the LCM is 3 and 9.

  • Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 3 and 9. Write this prime (3) to the left of the given numbers (3 and 9), separated by a ladder arrangement. .
  • Step 2: If a given number (3, 9) is a multiple of 3 then divide it by 3 and write the quotient below. Bring down any number that is not divisible by primes.
  • Step 3: Continue the steps until there are only 1s left in the last row.

The LCM of 3 and 9 is the product of all the primes to the left, i.e. LCM (3, 9) by division = 3 × 3 = 9.

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LCM of 3 and 9 in prime factors

Read more: Remove Amazon Assistant aa.hta Virus | Instructions for completely uninstalling the virus The factorization of 3 and 9 is (3) = 31 and (3 × 3) = 32, respectively. The LCM of 3 and 9 can be obtained by multiplying integer factors. factors are raised to their highest powers, i.e. 32 = 9. Hence, the LCM of 3 and 9 by multiplying the prime factor is 9.

LCM of 3 and 9 in List Multiples

LCM of 3 and 9 by List Multiple MethodTo calculate the LCM of 3 and 9 by enumerating common multiples, we can follow these steps:

  • Step 1: List some multiples of 3 (3, 6, 9, 12, 15,…) and 9 (9, 18, 27, 36, 45, 54, 63,…)
  • Step 2: The common multiples from the multiples of 3 and 9 are 9, 18 ,. . .
  • Step 3: The least common multiple of 3 and 9 is 9.

∴ Least common multiple of 3 and 9 = 9.☛ Also check:Read more: What is the factor of 27

  • LCM of 6 and 7 – 42
  • LCM of 4 and 10 – 20
  • LCM of 25 and 100 – 100
  • LCM of 3 and 7 – 21
  • LCM of 56 and 72 – 504
  • LCM of 13 and 15 – 195
  • LCM of 8 and 42 – 168

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