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LCM of 638, 107, 404, 606, 289

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


Find the LCM of 638, 107, 404, 606, 289 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 638, 107, 404, 606, 289. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,107,404,606,289

Given numbers are 638,107,404,606,289

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

The LCM of 638,107,404,606,289 is 11955697644.

Find LCM of 638,107,404,606,289 with Prime Factorization


2 638, 107, 404, 606, 289
101 319, 107, 202, 303, 289
319, 107, 2, 3, 289

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

2 x 101 x 319 x 107 x 2 x 3 x 289 = 11955697644

Therefore, the lowest common multiple of 638,107,404,606,289 is 11955697644.

LCM Formula to Find Lowest Common Multiple of 638,107,404,606,289

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.

638 x 107 x 404 x 606 x 289 = 4830101848176

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

107 : 1, 107

404 : 1, 2, 4, 101, 202, 404

606 : 1, 2, 3, 6, 101, 202, 303, 606

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,107,404,606,289, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

107:107

404:2x 2x 101

606:2x 3x 101

289:17x 17

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 101 = 404

Therefore, the value for common factors is 404.

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 = 4830101848176/(1x404)

LCM = 4830101848176/404

LCM = 11955697644

Thus, we can understand that the LCM of 638,107,404,606,289 is 11955697644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 107, 404, 606, 289

1. What is the LCM of 638, 107, 404, 606, 289?

Answer: LCM of 638, 107, 404, 606, 289 is 11955697644.

2. How to calculate the LCM of 638, 107, 404, 606, 289?

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 638, 107, 404, 606, 289.

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}.