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LCM of 6 and eight

LCM of 6 and eight is the smallest quantity amongst all frequent multiples of 6 and eight. The primary few multiples of 6 and eight are (6, 12, 18, 24, 30, 36, 42, . . . . ) and (8, 16, 24, 32, . . . ) respectively. There are 3 generally used strategies to search out LCM of 6 and eight – by prime factorization, by division technique, and by itemizing multiples.

1. LCM of 6 and eight 2. Record of Strategies 3. Solved Examples 4. FAQs

Reply: LCM of 6 and eight is 24.

LCM of 6 and 8

Clarification:

The LCM of two non-zero integers, x(6) and y(8), is the smallest constructive integer m(24) that’s divisible by each x(6) and y(8) with none the rest.

Let’s take a look at the totally different strategies for locating the LCM of 6 and eight.

  • By Prime Factorization Methodology
  • By Itemizing Multiples
  • By Division Methodology

LCM of 6 and eight by Prime Factorization

Prime factorization of 6 and eight is (2 × 3) = 21 × 31 and (2 × 2 × 2) = 23 respectively. The LCM of 6 and eight could be obtained by multiplying prime components raised to their respective highest energy, ie 23 × 31 = 24. Therefore, the LCM of 6 and eight by prime factorization is 24.

LCM of 6 and eight by Itemizing Multiples

LCM of 6 and 8 by Listing Multiples Method

To calculate the LCM of 6 and eight by itemizing out the frequent multiples, we will observe the given under steps:

  • Step 1: Record a couple of multiples of 6 (6, 12, 18, 24, 30, 36, 42, . . . . ) and eight (8, 16, 24, 32, . . . . )
  • Step 2: The frequent multiples from the multiples of 6 and eight are 24, 48, . . .
  • Step 3: The smallest frequent a number of of 6 and eight is 24.

∴ The least frequent a number of of 6 and eight = 24.

LCM of 6 and eight by Division Methodology

LCM of 6 and 8 by Division Method

To calculate the LCM of 6 and eight by the division technique, we’ll divide the numbers(6, 8) by their prime components (ideally frequent). The product of those divisors offers the LCM of 6 and eight.

  • Step 1: Discover the prime quantity that may be a issue of at the least one of many numbers, 6 and eight. Write this prime quantity(2) on the left of the given numbers(6 and eight), separated as per the ladder association.
  • Step 2: If any of the given numbers (6, 8) is a a number of of two, divide it by 2 and write the quotient under it. Carry down any quantity that’s not invisible by the prime quantity.
  • Step 3: Proceed the steps till solely 1s are left within the final row.

The LCM of 6 and eight is the product of all prime numbers on the left, ie LCM(6, 8) by division technique = 2 × 2 × 2 × 3 = 24.

☛ Additionally Test:

  • LCM of 16, 24 and 36 – 144
  • LCM of 30 and 36 – 180
  • LCM of 1 and 5 – 5
  • LCM of 24 and 90 – 360
  • LCM of 54 and 90 – 270
  • LCM of seven and 13 – 91
  • LCM of 21, 28, 36 and 45 – 1260

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