what is the lcm of 15 and 20

LCM of 15 and 20LCM of 15 and 20 is the smallest of all common multiples of 15 and 20. The first multiples of 15 and 20 are (15, 30, 45, 60, 75, 90, 105,. ..) and (20, 40, 60, 80, 100, 120,…) respectively. There are 3 commonly used methods to find the LCMs of 15 and 20 – by division, by prime factors, and by enumerating multiples. 1. LCM of 15 and 20 2. List of methods 3. Solved examples 4. FAQAnswer: LCM of 15 and 20 is 60. Read: what is lcm of 15 and 20 Explanation: Read more: Spatial tasks can teach us about the LCM remote work of two non-zero integers 0, x (15) and y (20), which is the smallest positive integer m (60) that is divisible by both x(15) and y(20) do not have any remainder. The methods for finding LCMs of 15 and 20 are explained below.

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

LCM of 15 and 20 in prime factors

The prime factors of 15 and 20 are (3 × 5) = 31 × 51 and (2 × 2 × 5) = 22 × 51, respectively. The LCMs of 15 and 20 can be obtained by multiplying the prime factors. are raised to their highest powers, i.e. 22 × 31 × 51 = 60. Therefore, the LCM of 15 and 20 by multiplying primes is 60.

LCM of 15 and 20 by Division Method

LCM of 15 and 20 by Division MethodTo calculate the LCM of 15 and 20 using the division method, we divide the numbers (15, 20) by their prime factors (preferably regular). The product of these divisors for the LCM is 15 and 20.

  • Step 1: Find the smallest prime that is a factor of at least one of the numbers, 15 and 20. Write this prime (2) to the left of the given numbers (15 and 20), separated by a ladder arrangement. .
  • Step 2: If a given number (15, 20) 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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Read more: Wabbit season has come | Top Q&A The LCM of 15 and 20 is the product of all the primes to the left, i.e. LCM (15, 20) by division = 2 × 2 × 3 × 5 = 60.

LCM of 15 and 20 in List Multiples

LCM of 15 and 20 by List Multiples MethodTo calculate LCM of 15 and 20 by enumerating common multiples we can follow below steps:

  • Step 1: List some multiples of 15 (15, 30, 45, 60, 75, 90, 105,…) and 20 (20, 40, 60, 80, 100, 120,…)
  • Step 2: The common multiples from the multiples of 15 and 20 are 60, 120,. . .
  • Step 3: The least common multiple of 15 and 20 is 60.

∴ Least common multiple of 15 and 20 = 60.☛ Also check:Read more: MS3816CE / MS3816HT / MS3816WH desktop hollow punching machine | Top Q&A

  • LCM of 36 and 72 – 72
  • LCM of 36 and 64 – 576
  • LCM of 36 and 63 – 252
  • LCM of 36 and 60 – 180
  • LCM of 36 and 54 – 108
  • LCM of 36 and 48 – 144
  • LCM of 36 and 45 – 180

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