Lcm of 96 ; 120 ; 144?

Answer 1

#LCM(96,120,144)=color(blue)(2,880)#

#{: (96,=24xx4), (120,=24xx5), (144,=24xx6) :}#

Only one "copy" of the greatest common divisor (#24#) is needed to form the least common multiple; so #color(white)("XXX")LCM(96,120,144)=24xx4xx5xx6=96xx30=2880#

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email

Answer 2

Emery Allen

To find the least common multiple (LCM) of 96, 120, and 144, you can first factor each number into its prime factors:

96 = 2^5 * 3 120 = 2^3 * 3 * 5 144 = 2^4 * 3^2

Then, identify the highest power of each prime factor that appears in any of the numbers:

The highest power of 2 is 2^5.
The highest power of 3 is 3^2.
The highest power of 5 is 5^1.

Multiply these highest powers together to find the LCM:

LCM = 2^5 * 3^2 * 5^1 LCM = 32 * 9 * 5 LCM = 1440

So, the LCM of 96, 120, and 144 is 1440.

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.