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LCM of 803, 187, 849, 160

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


Find the LCM of 803, 187, 849, 160 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, 187, 849, 160. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,187,849,160

Given numbers are 803,187,849,160

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

The LCM of 803,187,849,160 is 1854351840.

Find LCM of 803,187,849,160 with Prime Factorization


11 803, 187, 849, 160
73, 17, 849, 160

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

11 x 73 x 17 x 849 x 160 = 1854351840

Therefore, the lowest common multiple of 803,187,849,160 is 1854351840.

LCM Formula to Find Lowest Common Multiple of 803,187,849,160

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 187 x 849 x 160 = 20397870240

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

187 : 1, 11, 17, 187

849 : 1, 3, 283, 849

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,187,849,160, is 1.

Now, the common factors can be found like this.

803:11x 73

187:11x 17

849:3x 283

160:2x 2x 2x 2x 2x 5

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

11 = 11

Therefore, the value for common factors is 11.

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 = 20397870240/(1x11)

LCM = 20397870240/11

LCM = 1854351840

Thus, we can understand that the LCM of 803,187,849,160 is 1854351840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 187, 849, 160

1. What is the LCM of 803, 187, 849, 160?

Answer: LCM of 803, 187, 849, 160 is 1854351840.

2. How to calculate the LCM of 803, 187, 849, 160?

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, 187, 849, 160.

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}.