Given numbers are 930,563,381,420,810

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

The LCM of 930,563,381,420,810 is 25135461540.

Find LCM of 930,563,381,420,810 with Prime Factorization

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

2 x 3 x 5 x 31 x 563 x 127 x 14 x 27 = 25135461540

Therefore, the lowest common multiple of 930,563,381,420,810 is 25135461540.

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.

930 x 563 x 381 x 420 x 810 = 67865746158000

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

563 : 1, 563

381 : 1, 3, 127, 381

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,563,381,420,810, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

563:563

381:3x 127

420:2x 2x 3x 5x 7

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

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 3x 3x 3x 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 67865746158000/(1x2700)

LCM = 67865746158000/2700

LCM = 25135461540

Thus, we can understand that the LCM of 930,563,381,420,810 is 25135461540.

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

• LCM of 417, 958, 466, 586, 471
• LCM of 794, 135, 559, 879, 229
• LCM of 533, 643, 771, 630, 194
• LCM of 577, 870, 511, 420, 526
• LCM of 724, 856, 595, 467, 369

1. What is the LCM of 930, 563, 381, 420, 810?

Answer: LCM of 930, 563, 381, 420, 810 is 25135461540.

2. How to calculate the LCM of 930, 563, 381, 420, 810?

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 930, 563, 381, 420, 810.

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}.