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LCM of 506, 590, 597, 671, 913

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


Find the LCM of 506, 590, 597, 671, 913 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 506, 590, 597, 671, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 506,590,597,671,913

Given numbers are 506,590,597,671,913

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

The LCM of 506,590,597,671,913 is 451185143970.

Find LCM of 506,590,597,671,913 with Prime Factorization


2 506, 590, 597, 671, 913
11 253, 295, 597, 671, 913
23, 295, 597, 61, 83

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

2 x 11 x 23 x 295 x 597 x 61 x 83 = 451185143970

Therefore, the lowest common multiple of 506,590,597,671,913 is 451185143970.

LCM Formula to Find Lowest Common Multiple of 506,590,597,671,913

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.

506 x 590 x 597 x 671 x 913 = 109186804840740

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

597 : 1, 3, 199, 597

671 : 1, 11, 61, 671

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,590,597,671,913, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

590:2x 5x 59

597:3x 199

671:11x 61

913:11x 83

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 109186804840740/(1x242)

LCM = 109186804840740/242

LCM = 451185143970

Thus, we can understand that the LCM of 506,590,597,671,913 is 451185143970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 506, 590, 597, 671, 913

1. What is the LCM of 506, 590, 597, 671, 913?

Answer: LCM of 506, 590, 597, 671, 913 is 451185143970.

2. How to calculate the LCM of 506, 590, 597, 671, 913?

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 506, 590, 597, 671, 913.

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}.