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LCM of 349, 435, 451, 638

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


Find the LCM of 349, 435, 451, 638 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 349, 435, 451, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 349,435,451,638

Given numbers are 349,435,451,638

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

The LCM of 349,435,451,638 is 136937130.

Find LCM of 349,435,451,638 with Prime Factorization


11 349, 435, 451, 638
29 349, 435, 41, 58
349, 15, 41, 2

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

11 x 29 x 349 x 15 x 41 x 2 = 136937130

Therefore, the lowest common multiple of 349,435,451,638 is 136937130.

LCM Formula to Find Lowest Common Multiple of 349,435,451,638

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.

349 x 435 x 451 x 638 = 43682944470

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.

349 : 1, 349

435 : 1, 3, 5, 15, 29, 87, 145, 435

451 : 1, 11, 41, 451

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,435,451,638, is 1.

Now, the common factors can be found like this.

349:349

435:3x 5x 29

451:11x 41

638:2x 11x 29

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

11x 29 = 319

Therefore, the value for common factors is 319.

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 = 43682944470/(1x319)

LCM = 43682944470/319

LCM = 136937130

Thus, we can understand that the LCM of 349,435,451,638 is 136937130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 349, 435, 451, 638

1. What is the LCM of 349, 435, 451, 638?

Answer: LCM of 349, 435, 451, 638 is 136937130.

2. How to calculate the LCM of 349, 435, 451, 638?

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 349, 435, 451, 638.

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}.