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Clarification of LCM of 24 8

LCM of 24 8 is the least number amongst all common multiples of 24 and 8. The first multiples of 24 and 8 are (24, 48, 72, 96, 120, 144, 168,…) and (8 , 16, 24, 32, 40, 48,…) respectively. There are three methods commonly used to find LCM of 24 and 8: by division method, list of multiples, and prime factorization.

LCM of 24  8?

Reply: LCM of 24  8 is 24.

Clarification:

The LCM of two nonzero integers, x(24) and y(8), is the smallest positive integer m(24) that is divisible by x(24) and y(8) with no remainder. It means to find LCM of 24 and 8

See the different methods to find the LCM of 24 and 8.

  • For enumeration of multiples
  • For the primary factorization method
  • By division method

LCM of 24  8 Listing Multiples

To compute the LCM of 24 8, we list the common multiples. We can follow the steps below:

1: List some multiples of 24 (24, 48, 72, 96, 120, 144, 168, . . . ) and 8 (8, 16, 24, 32, 40, 48, . . . . )

2: The common multiples of 24 and 8 are 24, 48.

3: The least common multiplication of [24 and 8 is 24.

∴ The least common multiplication of 24 and 8 = 24.

LCM of 24 8 for Primary Factorization

The primary factorization of 24 and 8 is (2 × 2 × 2 × 3) = 23 × 31 and (2 × 2 × 2) = 23 respectively. The LCM of 24 and 8 can be obtained by multiplying the prime factors raised to their respective highest power, 23 × 31 = 24.

Therefore, the LCM of [24] and [8] by prime factorization is 24.

Calculator User

Least Common Multiple (LCM) is also known as Least Common Multiplication (LCM) and Least Common Divisor (LCD). For two numbers a and b, denoted LCM(a,b), the LCM is the smallest positive integer divisible in equal parts between a and b. also, for example, LCM(2,3) = 6 and LCM(6,10) = 30. The LCM of two or extra numbers is the smallest number divisible by all the numbers in the set.

Least Common Number Calculator

lcm

And discover the LCM of a set of numbers with this calculator. Which also displays the steps and how to do the job.

Enter the numbers you want to find the LCM. Additionally, you can use commas or spaces to separate your numbers. But don’t use commas inside your numbers. For example, enter 2500, 1000 and not 2500, 1000.

How to Find the Least Common Multiple ppm?

ppm

This step-by-step LCM calculator finds the LCM and displays the job using six different methods:

  • List of multiples
  • Prime factorization
  • Pie/Ladder Method
  • Division method
  • Use of the greatest mutual factor GCF
  • Venn diagram

How to Find LCM by List Multiples?

  • List the multiplication of each number until at least one of the multiples looks in all the lists.
  • Find the smallest number that is in all the lists
  • Also, its number is the LCM

Sample: LCM(6,7,21)

  • Multiplication of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60
  • And multiplication of 7: 7, 14, 21, 28, 35, 42, 56, 63
  • Also multiples of 21: 21, 42, 63
  • Find the smallest number that is in all the lists. We take it in bold above.
  • So LCM(6, 7, 21) is 42

How to Find LCM by Prime Factorization?

  • Find all the prime issues of each assumed number.
  • List all the prime numbers found several times as they appear most frequently for an assumed number.
  • Increase the list of prime factors to find the LCM.

The LCM(a,b) is intended by finding the major factoring of a and b. Also, use the same process for the LCM of more than two numbers.

For sample, for LCM(12,30) we find:

  • Major factorization of 12 = 2 × 2 × 3
  • Also prime factorization of 30 = 2 × 3 × 5
  • Using all the prime numbers encountered as often as each occurs most often, we take 2 × 2 × 3 × 5 = 60
  • So LCM(12,30) = 60.

For sample, for LCM(24,300) we find:

  • Major factorization of 24 = 2 × 2 × 2 × 3
  • Also prime factorization of 300 = 2 × 2 × 3 × 5 × 5
  • Using all the prime numbers encountered as often as each occurs most often, we take 2 × 2 × 2 × 3 × 5 × 5 = 600
  • So LCM(24,300) = 600.

How to Find the LCM Using the Separation Method?

Find the LCM (10, 18, 25)

  • Write your numbers in a top row of the board

Division table ten

18

25

  • Starting with the lowest primes, divide the row of numbers by a prime number divisible by at least one of its numbers and move the result to the next row in the table.

Division table of the ten

18

25

5

9

  • If a number in the row is not evenly divisible, decrease that number.

Division table of the ten

18

25

5

9

25

  • Continue dividing rows by prime numbers divided into a single number.
  • When the last row of results contains all 1s, you are done.

Division table of the ten

18

25

3

5

9

25

3

5

3

25

5

5

1

25

5

1

1

5

1,1,1

  • The LCM is the product of the main numbers in the first column.
  • LCM = 2 × 3 × 3 × 5 × 5
  • MCL = 450
  • Therefore, LCM(10, 18, 25) = 450

Review Clarification of LCM of 24 8.

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