Math + Fun !
Home  ::   About Us  ::   Tutor in Your Home  ::   Tutoring Center  ::   SUMMER CAMP  ::   Advertise With Us  ::   College Counseling  ::   Contact Us
Our online tests allow your kids to test their math skills. We make sure that your kids are having fun while studying by combining testing and practice sessions with cleverly designed math games.
Math is Fun
This site is an online mathematics and science school
where you can study without leaving your home (online education).
"Do not worry about your difficulties in mathematics, I assure you that mine are greater". Einstein, Albert (1879-1955)
Login  ::   Sign Up - FREE  ::   Refer a Friend
  School of Logical Thinking
  Tests Examples - Demo
  Elementary Mathematics
  High School Placement
  Placement College Test
  ACT
  SAT
  Flash Games
  ACT
  ACT Assessment
  Test Description
  English Test
  Mathematics Test
  Reading Test
  Science Test
  Writing Test
  SAT
  Early Mathematics
  Study Guide
  Arithmetic
  Algebra
  Geometry
  Trigonometry
Least common multiple
Common multiple of some numbers is called a number, which is divisible by each of them. For example, numbers 9, 18 and 45 have as a common multiple 180. But 90 and 360 are also theirs common multiples. Among all common multiples there is always the least one, in our case this is 90. This number is called a least common multiple (LCM).

To find a least common multiple (LCM) of some numbers it is necessary:
  1. to express each of the numbers as a product of its prime factors, for example:
    504 = 2 · 2 · 2 · 3 · 3 · 7 ,
  2. to write powers of all prime factors in the factorization as:
    504 = 2 · 2 · 2 · 3 · 3 · 7 = 23 · 32 · 71 ,
  3. to write out all prime factors, presented at least in one of these numbers;
  4. to take the greatest power of each of them, meeting in the factorizations;
  5. to multiply these powers.
Example:
Find LCM for numbers: 168, 180 and 3024.
Solution:
168 = 2 · 2 · 2 · 3 · 7 = 23 · 31 · 71 ,
180 = 2 · 2 · 3 · 3 · 5 = 22 · 32· 51 ,
3024 = 2 · 2 · 2 · 2 · 3 · 3 · 3 · 7 = 24 · 33 · 71 .
Write out the greatest powers of all prime factors: 24, 33, 51, 71 and multiply them:
LCM = 24 · 33 · 5 · 7 = 15120 .

View My Stats
Math Plus Fun