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LCM of 803, 470, 256, 267, 731

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


Find the LCM of 803, 470, 256, 267, 731 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 803, 470, 256, 267, 731. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,470,256,267,731

Given numbers are 803,470,256,267,731

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

The LCM of 803,470,256,267,731 is 9428704200960.

Find LCM of 803,470,256,267,731 with Prime Factorization


2 803, 470, 256, 267, 731
803, 235, 128, 267, 731

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

2 x 803 x 235 x 128 x 267 x 731 = 9428704200960

Therefore, the lowest common multiple of 803,470,256,267,731 is 9428704200960.

LCM Formula to Find Lowest Common Multiple of 803,470,256,267,731

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.

803 x 470 x 256 x 267 x 731 = 18857408401920

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.

803 : 1, 11, 73, 803

470 : 1, 2, 5, 10, 47, 94, 235, 470

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

267 : 1, 3, 89, 267

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,470,256,267,731, is 1.

Now, the common factors can be found like this.

803:11x 73

470:2x 5x 47

256:2x 2x 2x 2x 2x 2x 2x 2

267:3x 89

731:17x 43

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

2 = 2

Therefore, the value for common factors is 2.

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 = 18857408401920/(1x2)

LCM = 18857408401920/2

LCM = 9428704200960

Thus, we can understand that the LCM of 803,470,256,267,731 is 9428704200960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 470, 256, 267, 731

1. What is the LCM of 803, 470, 256, 267, 731?

Answer: LCM of 803, 470, 256, 267, 731 is 9428704200960.

2. How to calculate the LCM of 803, 470, 256, 267, 731?

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 803, 470, 256, 267, 731.

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}.