Question

a Find the L. Como 1 16, 24,40​

Answer 1

Given:

Numbers 16,24,40

To Find:

The LCM of the given numbers

Solution:

To find the LCM of the given numbers several methods can be used like Long Division Method or Prime Factorization Method. Here we will use the prime factorization method.

Now we have to first prime factorise all the given numbers

$16=2*2*2*2\\24=2*2*2*3\\40=2*2*2*5$

Now we need to select the highest power of every prime factor and multiply them together to find the LCM.

$LCM=2*2*2*2*3*5\\=240$

Hence, the LCM of 16,24,40 is 240.

Right Question:

Find the LCM of 16,24,40.

Answer 2

The LCM of 16 , 24 , 40 is 240

Given : The numbers 16 , 24 , 40

To find : The LCM of the numbers

Tip :

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Solution :

Step 1 of 3 :

Write down the given numbers

The given numbers are 16 , 24 , 40

Step 2 of 3 :

Prime factorise the given numbers

Prime factorising the given numbers we get

16 = 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

40 = 2 × 2 × 2 × 5

Step 3 of 3 :

Find the LCM

LCM is the least number which is exactly divisible by each of the given numbers

Hence the required LCM

= 2 × 2 × 2 × 2 × 3 × 5

= 240

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