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Find the LcM of 160, 192,240​

1 Answer

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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.


160=2* 2* 2* 2* 2* 5


160=2^5* 5


192=2* 2* 2* 2* 2* 2* 3


192=2^6* 3


240=2* 2* 2* 2* 3* 5


240=2^4* 3* 5

Now, the LCM of given numbers is the product of all prime factors with highest degrees.


LCM=2^6* 3* 5


LCM=64* 15


LCM=960

Therefore, the LCM of given numbers is 960.

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