Multiples
Write the first 5 multiples of 6
6,12,18,24,30
What is a factor of everything?
1
A coach has 28 soccer balls and 42 cones. She wants to divide them into identical groups for practice so that each group has the same number of balls and cones with none left over. What is the greatest number of groups she can make?
GCF
14 groups
A movie theater offers two movies. One movie starts every 20 minutes, and another starts every 30 minutes. If both movies start at 1:00 PM, at what time will they start at the same time again?
LCM
60 minutes
They will start again at 2:00 pm
Tell me a fact about multiples.
Examples:
They start at the number and go up.
It's skip counting.
They never end.
You can find the LCM of two or more numbers.
Tell me a fact about factors.
One and itself are always factor of a number.
Factors stop, they cannot be greater than the number you are trying to find factors of.
You can find the GCF of two or more numbers.
A teacher has 24 pencils and 36 erasers. She wants to make identical supply kits using all the items with no leftovers. What is the greatest number of kits she can make?
GCF
12 kits
A baker has 45 chocolate cupcakes and 30 vanilla cupcakes. She wants to arrange them into identical boxes with no cupcakes left over. What is the greatest number of boxes she can make?
GCF
15 boxes
What is the LCM of 5 and 15?
15
Write a factor rainbow (in order) for 42.
1, 2, 3, 6, 7, 14, 21, 42
A classroom has 32 markers and 48 colored pencils. The teacher wants to make identical art kits with no supplies left over. What is the greatest number of kits she can create?
GCF 16 kits
A florist has 54 roses and 72 daisies. She wants to create identical bouquets using all the flowers with none left over. What is the greatest number of bouquets she can make?
18 bouquets
What is the LCM of 6 and 9?
18
Write a factor rainbow (in order) for the number 38.
1, 2, 19, 38
Two runners are practicing on a track. One completes a lap every 9 minutes and the other every 15 minutes. If they start together, after how many minutes will they both be at the starting line again at the same time?
LCM
45 minutes
Two school bells ring at different intervals. One rings every 25 minutes and the other every 40 minutes. If they ring together at 8:00 AM, when will they ring together again?
LCM
200 Minutes (3 hours 20 minutes)
They will ring together again at 11:20 am
What is the LCM of 7, 14 and 6
42
What is the greatest common factor (GCF) of 12 and 18? Show factor rainbows to prove.
6
1,2,3,4,6,12
1,2,3,6,9,18
Three buses leave the station at the same time. One bus returns every 12 minutes, another every 18 minutes, and the third every 24 minutes. After how many minutes will all three buses return at the same time again?
LCM
72 minutes
Two lights blink at different intervals. One blinks every 8 seconds and the other every 12 seconds. If they blink together now, in how many seconds will they blink together again?
LCM
24 seconds