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LCM of 165, 828, 864, 997

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


Find the LCM of 165, 828, 864, 997 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 165, 828, 864, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 165,828,864,997

Given numbers are 165,828,864,997

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

The LCM of 165,828,864,997 is 1089681120.

Find LCM of 165,828,864,997 with Prime Factorization


2 165, 828, 864, 997
2 165, 414, 432, 997
3 165, 207, 216, 997
3 55, 69, 72, 997
55, 23, 24, 997

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

2 x 2 x 3 x 3 x 55 x 23 x 24 x 997 = 1089681120

Therefore, the lowest common multiple of 165,828,864,997 is 1089681120.

LCM Formula to Find Lowest Common Multiple of 165,828,864,997

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.

165 x 828 x 864 x 997 = 117685560960

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.

165 : 1, 3, 5, 11, 15, 33, 55, 165

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,828,864,997, is 1.

Now, the common factors can be found like this.

165:3x 5x 11

828:2x 2x 3x 3x 23

864:2x 2x 2x 2x 2x 3x 3x 3

997:997

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

2x 2x 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 117685560960/(1x108)

LCM = 117685560960/108

LCM = 1089681120

Thus, we can understand that the LCM of 165,828,864,997 is 1089681120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 165, 828, 864, 997

1. What is the LCM of 165, 828, 864, 997?

Answer: LCM of 165, 828, 864, 997 is 1089681120.

2. How to calculate the LCM of 165, 828, 864, 997?

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 165, 828, 864, 997.

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}.