When we multiply a number by each nonzero whole number, we obtain a list known as the multiples of that number. When we do this for several numbers, we can compare those lists to look for a common multiple that has the lowest value. This is known as the least common multiple or LCM.
Test Objectives:•Demonstrate the ability to generate the multiples of a number
•Demonstrate the ability to find the LCM using the listing method
•Demonstrate the ability to find the LCM using the prime factorization of each number
Finding the Least Common Multiple Test:
#1:
Instructions: Find the LCM by listing the multiples of each number.
a) LCM(4,10)
b) LCM(6,21)
#2:
Instructions: Find the LCM.
a) LCM(15,18)
b) LCM(14,63)
#3:
Instructions: Find the LCM.
a) LCM(24,81,156)
#4:
Instructions: Find the LCM.
a) LCM(121,165,231)
#5:
Instructions: Find the LCM.
a) LCM(550,150,225)
Written Solutions:
Solution:
a) LCM(4,10) = 20
b) LCM(6,21) = 42
Solution:
a) LCM(15,18) = 90
b) LCM(14,63) = 126
Solution:
a) LCM(24,81,156) = 8424
Solution:
a) LCM(121,165,231) = 12,705
Solution:
a) LCM(550,150,225) = 4950