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how to do LCM in division method of 72 96 and 120​

Sagot :

S231010idn

Answer:

LCM = 1440

Step-by-step explanation:

To find the Least Common Multiple (LCM) of 72, 96, and 120 using the division method, follow these steps:

Step 1: Write the numbers in a row and divide them by a common prime number that can divide at least two of the numbers.

Step 2: Write the quotients below each number. If a number is not divisible by the prime number, carry it down as it is.

Step 3: Repeat the process with the new set of numbers until all the numbers have been reduced to 1.

Here's how you can calculate it:

```

 2 | 72   96   120

   | ----------------

 2 | 36   48   60

   | ----------------

 2 | 18   24   30

   | ----------------

 2 | 9   12   15

   | ----------------

 3 | 9    6    5

   | ----------------

 3 | 3    2    5

   | ----------------

   | 1    2    5

   | ----------------

 2 | 1    1    5

   | ----------------

 5 | 1    1    1

   | ----------------

```

Now, multiply all the divisors used to get the LCM:

LCM = 2 × 2 \times 2 × 2 × 3 × 3 × 2 × 5 = 1440

So, the LCM of 72, 96, and 120 is 1440.

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