what is the lowest common multiple of 8 and 14

LCM of 8 and 14 LCM of 8 and 14 is the smallest of all common multiples of 8 and 14. The first multiples of 8 and 14 are (8, 16, 24, 32, 40, 48,… ) and ( 14, 28, 42, 56, 70,…) respectively. There are 3 commonly used methods to find the LCM of 8 and 14 – by division, by enumeration of multiples, and by prime factors. 1. LCM of 8 and 14 2. List of methods 3. Solved examples 4. FAQAnswer: LCM of 8 and 14 is 56. Read: what is the lowest common multiple of 8 and 14 Explanation: Read more: what is usermode font driver server | Q&A The first LCM of two non-zero integers, x(8) and y(14), is the smallest positive integer m (56) that is divisible by both x(8) and y(14) without any any remainder. find the LCM of 8 and 14 explained below.

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

LCM of 8 and 14 by Division Method

LCM of 8 and 14 by Division MethodTo calculate the LCM of 8 and 14 using the division method, we’ll divide the numbers (8, 14) by their prime factors (preferably regular). The product of these divisors for the LCM is 8 and 14.

  • Step 1: Find the smallest prime that is a factor of at least one of the numbers, 8 and 14. Write this prime (2) to the left of the given numbers (8 and 14), separated by a ladder arrangement. .
  • Step 2: If a given number (8, 14) 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 8 and 14 is the product of all the primes to the left, i.e. LCM (8, 14) by division = 2 × 2 × 2 × 7 = 56.

LCM of 8 and 14 in List Multiples

LCM of 8 and 14 by List Multiples MethodRead more: what is the low gear for | Top Q&A To calculate LCM of 8 and 14 by listing common multiples we can follow below steps:

  • Step 1: List some multiples of 8 (8, 16, 24, 32, 40, 48,…) and 14 (14, 28, 42, 56, 70,…)
  • Step 2: The common multiples from multiples of 8 and 14 are 56, 112,. . .
  • Step 3: The least common multiple of 8 and 14 is 56.

∴ Least common multiple of 8 and 14 = 56.

LCM of 8 and 14 in prime factors

The prime factors of 8 and 14 are (2 × 2 × 2) = 23 and (2 × 7) = 21 × 71, respectively. The LCMs of 8 and 14 can be obtained by multiplying the raised prime factors. to their highest powers, i.e. 23 × 71 = 56. Therefore, the LCM of 8 and 14 in prime factors is 56.☛ Also check:Read more: How many inches is 16 cm? | Top Q&A

  • LCM of 6 and 30 – 30
  • LCM of 24 and 36 – 72
  • LCM of 32 and 40 – 160
  • LCM of 5 and 15 – 15
  • LCM of 27 and 45 – 135
  • LCM of 4, 7 and 10 – 140
  • LCM of 4, 6 and 9 – 36

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