Given numbers are 507,890,351,214,480

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

The LCM of 507,890,351,214,480 is 6952551840.

Find LCM of 507,890,351,214,480 with Prime Factorization

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

2 x 3 x 5 x 13 x 13 x 89 x 9 x 107 x 16 = 6952551840

Therefore, the lowest common multiple of 507,890,351,214,480 is 6952551840.

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.

507 x 890 x 351 x 214 x 480 = 16268971305600

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.

507 : 1, 3, 13, 39, 169, 507

890 : 1, 2, 5, 10, 89, 178, 445, 890

351 : 1, 3, 9, 13, 27, 39, 117, 351

214 : 1, 2, 107, 214

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,890,351,214,480, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

890:2x 5x 89

351:3x 3x 3x 13

214:2x 107

480:2x 2x 2x 2x 2x 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 5x 13 = 2340

Therefore, the value for common factors is 2340.

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 = 16268971305600/(1x2340)

LCM = 16268971305600/2340

LCM = 6952551840

Thus, we can understand that the LCM of 507,890,351,214,480 is 6952551840.

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

• LCM of 518, 764, 186, 527, 606
• LCM of 722, 263, 187, 480, 599
• LCM of 295, 896, 912, 303, 617
• LCM of 823, 683, 455, 398, 295
• LCM of 419, 938, 904, 120, 467

1. What is the LCM of 507, 890, 351, 214, 480?

Answer: LCM of 507, 890, 351, 214, 480 is 6952551840.

2. How to calculate the LCM of 507, 890, 351, 214, 480?

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 507, 890, 351, 214, 480.

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}.