The least common multiple of 20, 24, and 45 is _____.
Answer:
c)360
Step-by-step explanation:
The least common multiples is the smallest common multiple.
To find the common multiple you have to divide the option given by the numbers: 20, 24, and 45 and result of each operation should be an integer number.
Let's review why answers a) and b) are not common multiple.
Answer a) 30
45 ÷ 30= 1,5 .
1.5 is not integer number ,So, 30 is not multiple of 45.
Answer b)180
180 ÷ 24= 7.5
7.5 is not integer number, So, 180 is not multiple of 24.
c) If you divide 20, 24 and 45 divided 360, the result is an integer.
360÷20=18
360÷24=15
360÷45=8
360 is common multiple of the three numbers. And it is the LCM.