Essential Question How do you find the least common multiple LCM of two or more numbers Before we start You get an email from your cousin on Wednesday After that you receive an email from your cousin every other day When will you get an email from your cousin on a Wednesday again ID: 736514
Download Presentation The PPT/PDF document "Lesson 4.4 Least Common Multiple" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.
Slide1
Lesson 4.4Least Common Multiple
Essential Question:
How do you find the least common multiple (LCM) of two or more numbers?Slide2
Before we start…You get an email from your cousin on Wednesday. After that you receive an email from your cousin every other day. When will you get an email from your cousin on a Wednesday again?Slide3
What is a multiple?
The
product of the number and any nonzero whole number
.
A
common multiple
is a multiple that is shared by two or more numbers.Slide4
What is a least common multiple?
T
he
least common multiples
of two or more whole numbers.
It’s the
smallest answer
that
two numbers share
.Slide5
4 has the multiples: 4, 8, 12, 16, 20, 24, 28,...
7
has the
multiples: 7, 14, 21,
28
, 35, 42, 49,...
The
LCM
of
4
and
7
would be
28
.Slide6
How do you find a LCM?Write the prime factorization of each number.
Circle
the greatest power of each prime factor.
Find
the product of the circled factors. This is your
LCM
.Slide7
Find the LCM of 6 and 15.Slide8
Find the LCM of 16 and 24.Slide9
Find the LCM of 20 and 25.Slide10
Find the LCM of 6, 8, and 20.Slide11
Find the LCM of 15, 30, and 50.Slide12
Agriculture Crop rotation is a system in which farmers vary the crops they plant in their fields each year. Suppose a farmer grows alfalfa in a certain field every 6 years. In another field, the farmer grows alfalfa every 10 years. This year, the farmer is growin
g alfalfa in both fields. In how many years will the farmer grow alfalfa in both fields again?Slide13
Class Sizes A teacher can arrange a class into groups of 2, 5, or 6 students with no one left out. What is the least number of students that the teacher can have in class to do this?Slide14
Cooking Zoe is making lasagna for a family reunion. Her recipe calls for 12 noodles of each batch of lasagna. One box of lasagna noodles contains 14 noodles. What is the least number of batches of lasagna Zoe can make without having any noodles left over?Slide15
How do I find the LCM of monomials?You will use the same method to find an LCM of monomials as you did numbers.
Write the prime factorization of each number.
Circle the greatest power of each prime factor.
Find the product of the circled factors. This is your LCM.Slide16
Find the LCM of
and
.
Slide17
Find the LCM of
and
.
Slide18
Find the LCM of
and
.
Slide19
Find the LCM of
and
.
Slide20
What is a least common denominator?
The
least common denominator (LCD)
of two or more fractions is the
least common multiple of the denominators
.
The LCD helps us to compare fractions.Slide21
Orangutans A female orangutan is about
feet tall. A male is about
feet tall. Which of the two orangutans is taller?
Slide22
Walkers Sarah walks two thirds mile to school every day. Amy walks five eighths mile to school. Who walks the greater distance to school?Slide23
Little League World Series Teams from California have played in the world championship game of the Little League World Series 20 times and won 5 times. Texas teams have appeared in 7 world championships and won twice. Which state has won a greater fraction of their world championship games? What is the fraction?Slide24
Long Jump At a track meet, your first jump is
meters, your second jump is
meters, and your third jump is
meters. Which jump is the longest?
Slide25
Order the numbers from least to greatest:
Slide26
Order the numbers from least to greatest:
Slide27
Order the numbers from least to greatest:
Slide28
How do you find the least common multiple (LCM) of two or more numbers?Slide29
Ticket Out the Door
Find the least common multiple of 10 and 16.