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LCM of 928, 736, 207, 645

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


Find the LCM of 928, 736, 207, 645 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 928, 736, 207, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 928,736,207,645

Given numbers are 928,736,207,645

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

The LCM of 928,736,207,645 is 41300640.

Find LCM of 928,736,207,645 with Prime Factorization


2 928, 736, 207, 645
2 464, 368, 207, 645
2 232, 184, 207, 645
2 116, 92, 207, 645
2 58, 46, 207, 645
3 29, 23, 207, 645
23 29, 23, 69, 215
29, 1, 3, 215

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

2 x 2 x 2 x 2 x 2 x 3 x 23 x 29 x 1 x 3 x 215 = 41300640

Therefore, the lowest common multiple of 928,736,207,645 is 41300640.

LCM Formula to Find Lowest Common Multiple of 928,736,207,645

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.

928 x 736 x 207 x 645 = 91191813120

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

207 : 1, 3, 9, 23, 69, 207

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,736,207,645, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

736:2x 2x 2x 2x 2x 23

207:3x 3x 23

645:3x 5x 43

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 23 = 2208

Therefore, the value for common factors is 2208.

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 = 91191813120/(1x2208)

LCM = 91191813120/2208

LCM = 41300640

Thus, we can understand that the LCM of 928,736,207,645 is 41300640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 928, 736, 207, 645

1. What is the LCM of 928, 736, 207, 645?

Answer: LCM of 928, 736, 207, 645 is 41300640.

2. How to calculate the LCM of 928, 736, 207, 645?

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 928, 736, 207, 645.

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}.