Given:
The numbers are 160, 192, 240.
To find:
The LCM of 160, 192, 240.
Solution:
The given numbers are 160, 192, 240. Write the factor forms of these numbers.
[tex]160=2\times 2\times 2\times 2\times 2\times 5[/tex]
[tex]160=2^5\times 5[/tex]
[tex]192=2\times 2\times 2\times 2\times 2\times 2\times 3[/tex]
[tex]192=2^6\times 3[/tex]
[tex]240=2\times 2\times 2\times 2\times 3\times 5[/tex]
[tex]240=2^4\times 3\times 5[/tex]
Now, the LCM of given numbers is the product of all prime factors with highest degrees.
[tex]LCM=2^6\times 3\times 5[/tex]
[tex]LCM=64\times 15[/tex]
[tex]LCM=960[/tex]
Therefore, the LCM of given numbers is 960.
