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LCM of 926, 382, 220, 814, 804

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


Find the LCM of 926, 382, 220, 814, 804 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 926, 382, 220, 814, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 926,382,220,814,804

Given numbers are 926,382,220,814,804

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

The LCM of 926,382,220,814,804 is 144688768620.

Find LCM of 926,382,220,814,804 with Prime Factorization


2 926, 382, 220, 814, 804
2 463, 191, 110, 407, 402
11 463, 191, 55, 407, 201
463, 191, 5, 37, 201

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

2 x 2 x 11 x 463 x 191 x 5 x 37 x 201 = 144688768620

Therefore, the lowest common multiple of 926,382,220,814,804 is 144688768620.

LCM Formula to Find Lowest Common Multiple of 926,382,220,814,804

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.

926 x 382 x 220 x 814 x 804 = 50930446554240

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.

926 : 1, 2, 463, 926

382 : 1, 2, 191, 382

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

814 : 1, 2, 11, 22, 37, 74, 407, 814

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,382,220,814,804, is 2.

Now, the common factors can be found like this.

926:2x 463

382:2x 191

220:2x 2x 5x 11

814:2x 11x 37

804:2x 2x 3x 67

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 11 = 176

Therefore, the value for common factors is 176.

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 = 50930446554240/(2x176)

LCM = 50930446554240/352

LCM = 144688768620

Thus, we can understand that the LCM of 926,382,220,814,804 is 144688768620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 926, 382, 220, 814, 804

1. What is the LCM of 926, 382, 220, 814, 804?

Answer: LCM of 926, 382, 220, 814, 804 is 144688768620.

2. How to calculate the LCM of 926, 382, 220, 814, 804?

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 926, 382, 220, 814, 804.

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}.