Question

Find the L.C.M of 24, 28 and 196 by division method​

Answer 1

The answer is given below

Answer 2

Given:

Given number for the LCM are 24, 28, and 196.

To find:

Now we have to find the lcm of given numbers using division method.

Solution:

Step 1: Write the given numbers in a horizontal line, separating them by commas.  

Step 2: Divide them through a suitable prime number, which accurately divides at least two of the given numbers.

Step 3: We put the quotient directly under the numbers in the next row. If the number is not divided exactly, we pay it down in the next row.

Step 4: We maintain the process of step 2 and step 3 until all co-prime numbers are left in the last row.  

Step 5: We generate all the prime numbers by which we have divided and the co-prime numbers left in the last row. This product is the LCM of the given numbers.

   

      2 [ 24, 28, 196

       2 [ 12, 14, 98

       2 [ 6, 7, 49

       7 [ 6, 1, 7

lcm of 24, 28, 196 = 2*2*2*7*6*1*7 = 2352

So the final answer is 2352.