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LCM of 609, 363, 671

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


Find the LCM of 609, 363, 671 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 609, 363, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 609,363,671

Given numbers are 609,363,671

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

The LCM of 609,363,671 is 4495029.

Find LCM of 609,363,671 with Prime Factorization


3 609, 363, 671
11 203, 121, 671
203, 11, 61

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

3 x 11 x 203 x 11 x 61 = 4495029

Therefore, the lowest common multiple of 609,363,671 is 4495029.

LCM Formula to Find Lowest Common Multiple of 609,363,671

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.

609 x 363 x 671 = 148335957

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.

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

363 : 1, 3, 11, 33, 121, 363

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,363,671, is 1.

Now, the common factors can be found like this.

609:3x 7x 29

363:3x 11x 11

671:11x 61

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 = 148335957/(1x33)

LCM = 148335957/33

LCM = 4495029

Thus, we can understand that the LCM of 609,363,671 is 4495029.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 609, 363, 671

1. What is the LCM of 609, 363, 671?

Answer: LCM of 609, 363, 671 is 4495029.

2. How to calculate the LCM of 609, 363, 671?

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 609, 363, 671.

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}.