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LCM of 803, 513, 622, 408, 201

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


Find the LCM of 803, 513, 622, 408, 201 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, 513, 622, 408, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,513,622,408,201

Given numbers are 803,513,622,408,201

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

The LCM of 803,513,622,408,201 is 1167365920248.

Find LCM of 803,513,622,408,201 with Prime Factorization


2 803, 513, 622, 408, 201
3 803, 513, 311, 204, 201
803, 171, 311, 68, 67

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

2 x 3 x 803 x 171 x 311 x 68 x 67 = 1167365920248

Therefore, the lowest common multiple of 803,513,622,408,201 is 1167365920248.

LCM Formula to Find Lowest Common Multiple of 803,513,622,408,201

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 513 x 622 x 408 x 201 = 21012586564464

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

513 : 1, 3, 9, 19, 27, 57, 171, 513

622 : 1, 2, 311, 622

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,513,622,408,201, is 1.

Now, the common factors can be found like this.

803:11x 73

513:3x 3x 3x 19

622:2x 311

408:2x 2x 2x 3x 17

201:3x 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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 21012586564464/(1x18)

LCM = 21012586564464/18

LCM = 1167365920248

Thus, we can understand that the LCM of 803,513,622,408,201 is 1167365920248.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 513, 622, 408, 201

1. What is the LCM of 803, 513, 622, 408, 201?

Answer: LCM of 803, 513, 622, 408, 201 is 1167365920248.

2. How to calculate the LCM of 803, 513, 622, 408, 201?

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, 513, 622, 408, 201.

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}.