Transcript Least Common Multiple - The Global Classroom

Where Are We Now?
We have learned how to:
 compare and order decimals.
 estimate by rounding and using compatible numbers.
 solve equations containing decimals.
 write numbers in scientific notation.
We will:
Where Are We Going?
 use divisibility rules.
 write numbers as products of primes.
 find the GCF and LCM of pairs of numbers.
 compare and order fractions.
 simplify fractions.
 convert fractions to decimals.
 convert decimals to fractions.
Maryland Content Standard
6.5.3: use number theory
concepts of primes, factors,
multiples, and rules of
divisibility to show number
relationships
Least Common
Multiple
A multiple of a number is
the product of the number
and a whole number.
The first five non-zero multiples of 5 are: 5, 10, 15,
20, 25.
We have seen that numbers can have common factors.
They also have common multiples.
List the multiples of 4:
List the multiples of 6:
Common multiples of 4 and 6 include 12 and 24. The
LCM is ____________.
Study Tip!!!!!
Don’t list too many multiples of one number
before beginning the other list. You may write
many more than you need
Find the LCM of 8 and 10.
8: 8, 16, 24, 32, 40, 48, 56
10: 10, 20, 30, 40, 50
LCM = __________________
In one part of a musical composition, the triangle
player in an orchestra plays once every 12 beats.
The tympani player plays once every 9 beats.
How often do they play together?
(Hint: You need to find the LCM of 12 and 9.)
A Problem for You
A local restaurant is offering a free meal to every 25th
customer on Valentine’s Day and a bouquet of roses to
every 12th customer. Which customer will be the first
to get both a free meal and a free bouquet?
Happy Valentine’s Day
To ALL of my Sweethearts!