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LCM of 792, 358, 165, 288, 850

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


Find the LCM of 792, 358, 165, 288, 850 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 792, 358, 165, 288, 850. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,358,165,288,850

Given numbers are 792,358,165,288,850

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

The LCM of 792,358,165,288,850 is 241005600.

Find LCM of 792,358,165,288,850 with Prime Factorization


2 792, 358, 165, 288, 850
2 396, 179, 165, 144, 425
2 198, 179, 165, 72, 425
3 99, 179, 165, 36, 425
3 33, 179, 55, 12, 425
5 11, 179, 55, 4, 425
11 11, 179, 11, 4, 85
1, 179, 1, 4, 85

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

2 x 2 x 2 x 3 x 3 x 5 x 11 x 1 x 179 x 1 x 4 x 85 = 241005600

Therefore, the lowest common multiple of 792,358,165,288,850 is 241005600.

LCM Formula to Find Lowest Common Multiple of 792,358,165,288,850

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.

792 x 358 x 165 x 288 x 850 = 11452586112000

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

358 : 1, 2, 179, 358

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

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,358,165,288,850, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

358:2x 179

165:3x 5x 11

288:2x 2x 2x 2x 2x 3x 3

850:2x 5x 5x 17

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 2x 2x 2x 3x 3x 3x 5x 11 = 47520

Therefore, the value for common factors is 47520.

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 = 11452586112000/(1x47520)

LCM = 11452586112000/47520

LCM = 241005600

Thus, we can understand that the LCM of 792,358,165,288,850 is 241005600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 358, 165, 288, 850

1. What is the LCM of 792, 358, 165, 288, 850?

Answer: LCM of 792, 358, 165, 288, 850 is 241005600.

2. How to calculate the LCM of 792, 358, 165, 288, 850?

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 792, 358, 165, 288, 850.

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}.