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What’s the least frequent a number of of 8 and 10

LCM of 8 and 10

LCM of 8 and 10 is the smallest quantity amongst all frequent multiples of 8 and 10. The primary few multiples of 8 and 10 are (8, 16, 24, 32, 40, . . . . ) and (10, 20, 30, 40, . . . ) respectively. There are 3 generally used strategies to seek out LCM of 8 and 10 – by prime factorization, by itemizing multiples, and by division technique.

1. LCM of 8 and 10 2. Record of Strategies 3. Solved Examples 4. FAQs

Reply: LCM of 8 and 10 is 40.

Studying: what’s the least frequent a number of of 8 and 10

LCM of 8 and 10

Rationalization:

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The LCM of two non-zero integers, x(8) and y(10), is the smallest constructive integer m(40) that’s divisible by each x(8) and y(10) with none the rest.

Let us take a look at the completely different strategies for locating the LCM of 8 and 10.

  • By Prime Factorization Technique
  • By Itemizing Multiples
  • By Division Technique

LCM of 8 and 10 by Prime Factorization

Prime factorization of 8 and 10 is (2 × 2 × 2) = 23 and (2 × 5) = 21 × 51 respectively. The LCM of 8 and 10 may be obtained by multiplying prime components raised to their respective highest energy, ie 23 × 51 = 40. Therefore, the LCM of 8 and 10 by prime factorization is 40.

LCM of 8 and 10 by Itemizing Multiples

LCM of 8 and 10 by Listing Multiples Method

To calculate the LCM of 8 and 10 by itemizing out the frequent multiples, we will observe the given under steps:

  • Step 1: Record a couple of multiples of 8 (8, 16, 24, 32, 40, . . . ) and 10 (10, 20, 30, 40, . . . . . )
  • Step 2: The frequent multiples from the multiples of 8 and 10 are 40, 80, . . .
  • Step 3: The smallest frequent a number of of 8 and 10 is 40.

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∴ The least frequent a number of of 8 and 10 = 40.

LCM of 8 and 10 by Division Technique

LCM of 8 and 10 by Division Method

To calculate the LCM of 8 and 10 by the division technique, we’ll divide the numbers(8, 10) by their prime components (ideally frequent). The product of those divisors offers the LCM of 8 and 10.

  • Step 1: Discover the prime quantity that may be a issue of the smallest a minimum of one of many numbers, 8 and 10. Write this prime quantity(2) on the left of the given numbers(8 and 10), separated as per the ladder association.
  • Step 2: If any of the given numbers (8, 10) is a a number of of two, divide it by 2 and write the quotient under it. Convey down any quantity that isn’t invisible by the prime quantity.
  • Step 3: Proceed the steps till solely 1s are left within the final row.

The LCM of 8 and 10 is the product of all prime numbers on the left, ie LCM(8, 10) by division technique = 2 × 2 × 2 × 5 = 40.

☛ Additionally Examine:

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  • LCM of three and three – 3
  • LCM of 12 and 20 – 60
  • LCM of 6 and 10 – 30
  • LCM of 24 and 54 – 216
  • LCM of three, 7 and 10 – 210
  • LCM of 24 and 42 – 168
  • LCM of seven, 8, 14 and 21 – 168

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