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LCM of 561, 473, 329, 590

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


Find the LCM of 561, 473, 329, 590 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 561, 473, 329, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 561,473,329,590

Given numbers are 561,473,329,590

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

The LCM of 561,473,329,590 is 4682515530.

Find LCM of 561,473,329,590 with Prime Factorization


11 561, 473, 329, 590
51, 43, 329, 590

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

11 x 51 x 43 x 329 x 590 = 4682515530

Therefore, the lowest common multiple of 561,473,329,590 is 4682515530.

LCM Formula to Find Lowest Common Multiple of 561,473,329,590

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.

561 x 473 x 329 x 590 = 51507670830

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

473 : 1, 11, 43, 473

329 : 1, 7, 47, 329

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,473,329,590, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

473:11x 43

329:7x 47

590:2x 5x 59

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

11 = 11

Therefore, the value for common factors is 11.

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 = 51507670830/(1x11)

LCM = 51507670830/11

LCM = 4682515530

Thus, we can understand that the LCM of 561,473,329,590 is 4682515530.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 561, 473, 329, 590

1. What is the LCM of 561, 473, 329, 590?

Answer: LCM of 561, 473, 329, 590 is 4682515530.

2. How to calculate the LCM of 561, 473, 329, 590?

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 561, 473, 329, 590.

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}.