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LCM of 619, 671, 429, 609

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


Find the LCM of 619, 671, 429, 609 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 619, 671, 429, 609. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 619,671,429,609

Given numbers are 619,671,429,609

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

The LCM of 619,671,429,609 is 3288318033.

Find LCM of 619,671,429,609 with Prime Factorization


3 619, 671, 429, 609
11 619, 671, 143, 203
619, 61, 13, 203

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

3 x 11 x 619 x 61 x 13 x 203 = 3288318033

Therefore, the lowest common multiple of 619,671,429,609 is 3288318033.

LCM Formula to Find Lowest Common Multiple of 619,671,429,609

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.

619 x 671 x 429 x 609 = 108514495089

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.

619 : 1, 619

671 : 1, 11, 61, 671

429 : 1, 3, 11, 13, 33, 39, 143, 429

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 619,671,429,609, is 1.

Now, the common factors can be found like this.

619:619

671:11x 61

429:3x 11x 13

609:3x 7x 29

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

3x 11 = 33

Therefore, the value for common factors is 33.

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 = 108514495089/(1x33)

LCM = 108514495089/33

LCM = 3288318033

Thus, we can understand that the LCM of 619,671,429,609 is 3288318033.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 619, 671, 429, 609

1. What is the LCM of 619, 671, 429, 609?

Answer: LCM of 619, 671, 429, 609 is 3288318033.

2. How to calculate the LCM of 619, 671, 429, 609?

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 619, 671, 429, 609.

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}.