Write all the numbers less than 100 which are common multiples of 3 and 4.

By Ritesh|Updated : November 7th, 2022

The numbers less than 100 which are common multiples of 3 and 4 are 12, 24, 36, 48, 60, 72, 84, 96. Common multiples of two numbers are those multiples that both of those numbers share. Let's use an illustration to better understand.

Consider two numbers– 30 and 45. Multiples of 30 and 45 are –

30 = 30, 60, 90, 120, 150, 180, 210, 240, 270…..

45 = 45, 90, 135, 190, 225, 270……….

The numbers below 100 that frequently multiply by 3 and 4

Let us consider the LCM of 3 and 4:

Prime factorization of 3:

3 = 1 x 3

Prime factorization of 4:

4 = 1 x 2 x 2

Therefore,

LCM (3, 4) = 1 x 2 x 2 x 3

= 12

The common multiples of 3 and 4 that are less than 100 and multiples of 12 are as follows:

12, 24, 36, 48, 60, 72, 84, 96

Properties of Multiples of Number

  • A number is bigger than or equal to every multiple of that number.
  • A few examples of multiples of 5 are 5, 10, 15, 20, etc. These multiples are all greater than or equal to 5, as can be seen.
  • A given integer has an unlimited number of multiples.
  • Numerological multiples of nine include 9, 18, 27, 36, 45, 54, and so on. However, because we may add an infinite number of integers to the given number, this list of multiples is also limitless.
  • There are multiples of every number. As an illustration, 7 is a multiple of 7 because it can be divided into 7, 14, 21, 28, etc.
  • Q is precisely divisible by P if Q is a multiple of P. 32 is a multiple of 8, hence 32/8 = 4 makes it so.
  • The aforementioned attribute is used to confirm a number's multiples.

Summary:

Write all the numbers less than 100 which are common multiples of 3 and 4.

The numbers which are common multiples of 3 and 4 less than 100 are 12, 24, 36, 48, 60, 72, 84, 96. The multiples that the two numbers share are said to be the two numbers' common multiples.

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