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LCM of 667, 417, 621, 201

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


Find the LCM of 667, 417, 621, 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 667, 417, 621, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 667,417,621,201

Given numbers are 667,417,621,201

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

The LCM of 667,417,621,201 is 167717817.

Find LCM of 667,417,621,201 with Prime Factorization


3 667, 417, 621, 201
23 667, 139, 207, 67
29, 139, 9, 67

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

3 x 23 x 29 x 139 x 9 x 67 = 167717817

Therefore, the lowest common multiple of 667,417,621,201 is 167717817.

LCM Formula to Find Lowest Common Multiple of 667,417,621,201

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.

667 x 417 x 621 x 201 = 34717588119

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.

667 : 1, 23, 29, 667

417 : 1, 3, 139, 417

621 : 1, 3, 9, 23, 27, 69, 207, 621

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,417,621,201, is 1.

Now, the common factors can be found like this.

667:23x 29

417:3x 139

621:3x 3x 3x 23

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.

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 34717588119/(1x207)

LCM = 34717588119/207

LCM = 167717817

Thus, we can understand that the LCM of 667,417,621,201 is 167717817.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 667, 417, 621, 201

1. What is the LCM of 667, 417, 621, 201?

Answer: LCM of 667, 417, 621, 201 is 167717817.

2. How to calculate the LCM of 667, 417, 621, 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 667, 417, 621, 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}.