Given numbers are 360,804,440,830,494

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

The LCM of 360,804,440,830,494 is 5439325320.

Find LCM of 360,804,440,830,494 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 3 x 67 x 11 x 83 x 247 = 5439325320

Therefore, the lowest common multiple of 360,804,440,830,494 is 5439325320.

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.

360 x 804 x 440 x 830 x 494 = 52217523072000

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.

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

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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

830 : 1, 2, 5, 10, 83, 166, 415, 830

494 : 1, 2, 13, 19, 26, 38, 247, 494

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,804,440,830,494, is 2.

Now, the common factors can be found like this.

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

804:2x 2x 3x 67

440:2x 2x 2x 5x 11

830:2x 5x 83

494:2x 13x 19

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 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 52217523072000/(2x4800)

LCM = 52217523072000/9600

LCM = 5439325320

Thus, we can understand that the LCM of 360,804,440,830,494 is 5439325320.

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

• LCM of 496, 313, 694, 213, 520
• LCM of 704, 792, 433, 451, 789
• LCM of 510, 744, 110, 700, 952
• LCM of 307, 115, 907, 142, 121
• LCM of 514, 150, 919, 625, 632

1. What is the LCM of 360, 804, 440, 830, 494?

Answer: LCM of 360, 804, 440, 830, 494 is 5439325320.

2. How to calculate the LCM of 360, 804, 440, 830, 494?

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 360, 804, 440, 830, 494.

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}.