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LCM of 9172, 1744

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 9172, 1744 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 9172, 1744. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9172,1744

Given numbers are 9172,1744

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 9172,1744 is 3998992.

Find LCM of 9172,1744 with Prime Factorization


2 9172, 1744
2 4586, 872
2293, 436

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 2293 x 436 = 3998992

Therefore, the lowest common multiple of 9172,1744 is 3998992.

LCM Formula to Find Lowest Common Multiple of 9172,1744

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

9172 x 1744 = 15995968

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

9172 : 1, 2, 4, 2293, 4586, 9172

1744 : 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9172,1744, is 4.

Now, the common factors can be found like this.

9172:2x 2x 2293

1744:2x 2x 2x 2x 109

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

= 1

Therefore, the value for common factors is 1.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 15995968/(4x1)

LCM = 15995968/4

LCM = 3998992

Thus, we can understand that the LCM of 9172,1744 is 3998992.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9172, 1744

1. What is the LCM of 9172, 1744?

Answer: LCM of 9172, 1744 is 3998992.

2. How to calculate the LCM of 9172, 1744?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 9172, 1744.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.