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LCM of 549, 391, 935, 572, 861

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


Find the LCM of 549, 391, 935, 572, 861 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 549, 391, 935, 572, 861. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,391,935,572,861

Given numbers are 549,391,935,572,861

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

The LCM of 549,391,935,572,861 is 176196400380.

Find LCM of 549,391,935,572,861 with Prime Factorization


3 549, 391, 935, 572, 861
11 183, 391, 935, 572, 287
17 183, 391, 85, 52, 287
183, 23, 5, 52, 287

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

3 x 11 x 17 x 183 x 23 x 5 x 52 x 287 = 176196400380

Therefore, the lowest common multiple of 549,391,935,572,861 is 176196400380.

LCM Formula to Find Lowest Common Multiple of 549,391,935,572,861

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.

549 x 391 x 935 x 572 x 861 = 98846180613180

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.

549 : 1, 3, 9, 61, 183, 549

391 : 1, 17, 23, 391

935 : 1, 5, 11, 17, 55, 85, 187, 935

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,391,935,572,861, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

391:17x 23

935:5x 11x 17

572:2x 2x 11x 13

861:3x 7x 41

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

3x 11x 17 = 561

Therefore, the value for common factors is 561.

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 = 98846180613180/(1x561)

LCM = 98846180613180/561

LCM = 176196400380

Thus, we can understand that the LCM of 549,391,935,572,861 is 176196400380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 549, 391, 935, 572, 861

1. What is the LCM of 549, 391, 935, 572, 861?

Answer: LCM of 549, 391, 935, 572, 861 is 176196400380.

2. How to calculate the LCM of 549, 391, 935, 572, 861?

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 549, 391, 935, 572, 861.

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}.