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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#

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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.

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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.