Least Common Multiples
Common Multiple
a common multiple is a multiple that two or more numbers share
Least common multiple
The smallest positive number that is a multiple of two or more numbers. Examples: To find the _________________________ of (12, 4) you can find the numbers multiples or find the numbers prime factors.
LCM(1,2,3)
6
Prime number
A whole number greater than 1 that has exactly two whole number factors, 1 and itself. Examples: 5 can only be divided evenly by 1 or 5, so it is a __________________. But 6 can be divided evenly by 1,2,3,and 6 and so 6 is not a prime number it is a composite number.
Prime factorization
Finding the factors of a number that are all prime Examples: To find the ______________________ of 45, use a factor tree to find that 45 is 5x9, and 9 is 3x3. So the __________________________ of 45 is 5x3x3.
Multiples
Numbers that can be divided into a given number evenly. These numbers will all be greater than the given number. Example: The _________ of 6 are 6, 12, 18, 24, 30 and so on. The number 6 can be divided evenly into the numbers 6, 12, 18, 24, 30 and so on
Factors
Numbers that when multiplied together give you the given number. These numbers will all be equal to or less than the given number. Example: The ___________ of 12 are 1,2,3,4,6,12. 2x6=12. 1x12=12. 3x4=12
Greatest Common Factor (GCF)
The greatest number that is a factor of two or more given numbers.
lcm(12,9)
36
30,18
(Least Common Mulitiple) 90
16,48
(Least Common Mulitple) 48
7,15
(Least Common Multiple) 105
40,15
(Least Common Multiple) 120
15,50
(Least Common Multiple) 150
9,6
(Least Common Multiple) 18
10,36
(Least Common Multiple) 180
24,64
(Least Common Multiple) 192
20,5
(Least Common Multiple) 20
8,12
(Least Common Multiple) 24
5,6
(Least Common Multiple) 30
9,12
(Least Common Multiple) 36
20,8
(Least Common Multiple) 40
4,15
(Least Common Multiple) 60
28,42
(Least Common Multiple) 84
7,12
(Least Common Multiple) 84
18,10
(Least Common Multiple) 90
16,96
(Least Common Multiple) 96
LCM(1,2,3,4)
12
lcm(90, 342)
1710