what is the least common multiple of 3 and 4

LCM of 3 and 4LCM of 3 and 4 is the smallest of all common multiples of 3 and 4. The first multiples of 3 and 4 are (3, 6, 9, 12, 15, 18, 21,.. .) and (4, 8, 12, 16, 20,…) respectively. There are 3 commonly used methods to find the LCM of 3 and 4 – by enumerating the multiples, by division and by prime factors. 1. LCM of 3 and 4 2. List of methods 3. Solved examples 4. Frequently asked questionsAnswer: The LCM of 3 and 4 is 12. Read: what is the most common multiple of 3 and 4 Explanation: Read more: What should I wear for an LCM endoscopy of two non-zero integers 0, x (3) and y (4), which is the smallest positive integer m (12) that is divisible by both x (3) and y ( 4) ) without any residuals. The methods to find the LCM of 3 and 4 are explained below.

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

LCM of 3 and 4 in List Multiples

LCM of 3 and 4 by List Multiples MethodTo calculate the LCM of 3 and 4 by enumerating common multiples, we can follow these steps:

  • Step 1: List some multiples of 3 (3, 6, 9, 12, 15, 18, 21,…) and 4 (4, 8, 12, 16, 20,…)
  • Step 2: The common multiples from the multiples of 3 and 4 are 12, 24 ,. . .
  • Step 3: The least common multiple of 3 and 4 is 12.

∴ Least common multiple of 3 and 4 = 12.

LCM of 3 and 4 by Division Method

LCM of 3 and 4 by Division MethodRead more: The Wheel of Time To calculate the LCM of 3 and 4 using the division method, we’ll divide the numbers (3, 4) by the (preferably regular) primes. The product of these divisors for the LCM is 3 and 4.

  • Step 1: Find the smallest prime that is a factor of at least one of the numbers, 3 and 4. Write this prime (2) to the left of the given numbers (3 and 4), separated by a ladder arrangement. .
  • Step 2: If a given number (3, 4) is a multiple of 2 then divide it by 2 and write the quotient below it. 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.
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The LCM of 3 and 4 is the product of all the primes to the left, i.e. LCM (3, 4) by division = 2 × 2 × 3 = 12.

LCM of 3 and 4 in prime factors

The prime factors of 3 and 4 are (3) = 31 and (2 × 2) = 22, respectively. The LCM of 3 and 4 can be obtained by multiplying prime factors raised to the highest power. their corresponding, i.e. 22 × 31 = 12. Therefore, the LCM of 3 and 4 in prime factors is 12.☛ Also check:Read more: What is a rotating bead?

  • LCM of 60 and 72 – 360
  • LCM of 6, 7 and 8 – 168
  • LCM of 5, 6 and 10 – 30
  • LCM of 8 and 10 – 40
  • LCM of 8, 12, 15 and 20 – 120
  • LCM of 10 and 100 – 100
  • LCM of 8, 12 and 24 – 24

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