Given numbers are 810,213,936,370,738

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

The LCM of 810,213,936,370,738 is 4536618840.

Find LCM of 810,213,936,370,738 with Prime Factorization

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

2 x 3 x 3 x 5 x 9 x 71 x 52 x 37 x 41 = 4536618840

Therefore, the lowest common multiple of 810,213,936,370,738 is 4536618840.

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.

810 x 213 x 936 x 370 x 738 = 44095935124800

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

213 : 1, 3, 71, 213

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

370 : 1, 2, 5, 10, 37, 74, 185, 370

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,213,936,370,738, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

213:3x 71

936:2x 2x 2x 3x 3x 13

370:2x 5x 37

738:2x 3x 3x 41

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 3x 3x 3x 3x 3x 5 = 9720

Therefore, the value for common factors is 9720.

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 = 44095935124800/(1x9720)

LCM = 44095935124800/9720

LCM = 4536618840

Thus, we can understand that the LCM of 810,213,936,370,738 is 4536618840.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 781, 710, 633, 631, 837
• LCM of 892, 339, 276, 735, 312
• LCM of 555, 410, 231, 681, 355
• LCM of 609, 634, 588, 665, 379
• LCM of 801, 210, 434, 489, 277

1. What is the LCM of 810, 213, 936, 370, 738?

Answer: LCM of 810, 213, 936, 370, 738 is 4536618840.

2. How to calculate the LCM of 810, 213, 936, 370, 738?

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 810, 213, 936, 370, 738.

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}.