Given numbers are 930,490,360,899

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

The LCM of 930,490,360,899 is 15858360.

Find LCM of 930,490,360,899 with Prime Factorization

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

2 x 3 x 5 x 31 x 1 x 49 x 12 x 29 = 15858360

Therefore, the lowest common multiple of 930,490,360,899 is 15858360.

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 490 x 360 x 899 = 147482748000

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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

899 : 1, 29, 31, 899

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,490,360,899, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

490:2x 5x 7x 7

360:2x 2x 2x 3x 3x 5

899:29x 31

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 5x 5x 31 = 9300

Therefore, the value for common factors is 9300.

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 = 147482748000/(1x9300)

LCM = 147482748000/9300

LCM = 15858360

Thus, we can understand that the LCM of 930,490,360,899 is 15858360.

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

• LCM of 178, 244, 925, 347
• LCM of 610, 953, 257, 418
• LCM of 739, 510, 843, 561
• LCM of 276, 636, 769, 844
• LCM of 316, 706, 108, 510

1. What is the LCM of 930, 490, 360, 899?

Answer: LCM of 930, 490, 360, 899 is 15858360.

2. How to calculate the LCM of 930, 490, 360, 899?

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, 490, 360, 899.

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}.