Find the greatest number of 6 digits exactly divisible by 24, 15 and 36.

By Ritesh|Updated : November 4th, 2022

The greatest number of 6 digits exactly divisible by 24, 15 and 36 is 999720. Now we have to find the LCM of given numbers:

  • Multiple of 24 = 2 x 2 x 2 x 3
  • Multiple of 15 = 3 x 5
  • Multiple of 36 = 2 x 2 x 3 x 3 = 22 x 32
  • LCM of 24, 15, 36 = 23 x 32 x 5 = 360

Afterward, multiply the largest 6-digit number by 360.

999999/360 = 2777.775 with remainder 279

Now, 999999 - 279 = 999720

Types of Numbers

Numbers can be divided into sets called number systems. The different kinds of numbers in Mathematics are:

  1. Natural Numbers: Natural numbers are known as counted numbers and include positive integers from 1 to infinity.
  2. Integers: Integers are called non-negative integers and do not contain fractions or decimals.
  3. Integers: Integers are the set of all integers, including the negative set of natural numbers.
  4. Real Numbers: All positive and negative integers, fractions, and decimals that do not contain imaginary numbers are called real numbers.
  5. Rational Numbers: Any number that can be written as the ratio of one number to another number is written as a rational number.
  6. Irrational Numbers: Numbers that cannot be represented in relation to each other are called irrational numbers and are denoted by the symbol "P".
  7. Complex Numbers: A number that can be written in the form a+bi, where "a and b" are real numbers and "i" is an imaginary number, is called a complex number "C".
  8. Imaginary Numbers: Imaginary numbers are complex numbers that can be written in the form of the product of a real number and the imaginary unit "i".

999720 is the largest six-digit number that can be divided into 24, 15, and 36.

Summary:

Find the greatest number of 6 digits exactly divisible by 24, 15 and 36.

999720 is the largest sum of six numbers that is precisely divisible by 24, 15, and 36. An arithmetic value made use to represent the quantity and in making calculations are called as numbers.

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