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LCM of 572, 440, 244, 720, 778

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


Find the LCM of 572, 440, 244, 720, 778 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 572, 440, 244, 720, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,440,244,720,778

Given numbers are 572,440,244,720,778

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

The LCM of 572,440,244,720,778 is 2443137840.

Find LCM of 572,440,244,720,778 with Prime Factorization


2 572, 440, 244, 720, 778
2 286, 220, 122, 360, 389
2 143, 110, 61, 180, 389
5 143, 55, 61, 90, 389
11 143, 11, 61, 18, 389
13, 1, 61, 18, 389

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

2 x 2 x 2 x 5 x 11 x 13 x 1 x 61 x 18 x 389 = 2443137840

Therefore, the lowest common multiple of 572,440,244,720,778 is 2443137840.

LCM Formula to Find Lowest Common Multiple of 572,440,244,720,778

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.

572 x 440 x 244 x 720 x 778 = 34399380787200

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.

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

244 : 1, 2, 4, 61, 122, 244

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,440,244,720,778, is 2.

Now, the common factors can be found like this.

572:2x 2x 11x 13

440:2x 2x 2x 5x 11

244:2x 2x 61

720:2x 2x 2x 2x 3x 3x 5

778:2x 389

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

2x 2x 2x 2x 2x 2x 2x 5x 11 = 7040

Therefore, the value for common factors is 7040.

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 = 34399380787200/(2x7040)

LCM = 34399380787200/14080

LCM = 2443137840

Thus, we can understand that the LCM of 572,440,244,720,778 is 2443137840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 440, 244, 720, 778

1. What is the LCM of 572, 440, 244, 720, 778?

Answer: LCM of 572, 440, 244, 720, 778 is 2443137840.

2. How to calculate the LCM of 572, 440, 244, 720, 778?

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 572, 440, 244, 720, 778.

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}.