In this problem we will find the LCM and HCF of 17 23 and 29 by doing the factors of the given numbers.

We will use the following concepts:

HCF = a number that divide all numbers.

LCM = A common number that could be completely divisible by all three given numbers.

## Find The LCM And HCF of 17 23 And 29

So, first of all we will do the factors of these given numbers 17, 23, and 29

By seeing the numbers we can identify that all these are prime numbers. All prime numbers are the factor of itself and 1.

Hence the factors of 17 are as follow:

17 = 1X7

Hence the factors of 23 are as follow:

23 = 1X23

Hence the factors of 29 are as follow:

29 = 1X29

Let’s see all together

17 = 1X17

23 = 1X23

29 = 1X29

Here we can see common factor is 1.

So, the HCF or Highest Common Factor = 1

LCM = 1X17X23X29

LCM = 11339

Here we find the all prime number has common HCF 1.

Now we will verify the relationship for calculating that our answer is correct on not.

SO, for verifying our we will use standard relationship

**Multiplication of numbers = LCM x HCF**

In this question, we have 3 numbers 17, 23, & 29.

**Let’s see the product of multiplication**

= 17 x 23 x 29

= 11339

Now let’s see the product of multiplication of LCM and HCF

= LCM x HCF

= 11339 x 1

= 11339

Here we can see that this question satisfied the standard relationship

**Multiplications of numbers = multiplications of HCF and LCM**

### Find The LCM And HCF of 17 23 And 29 By Factorization Method

Let’s take this example from the classroom whiteboard.

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