Given numbers are 456,999,577,834,330

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

The LCM of 456,999,577,834,330 is 669826582920.

Find LCM of 456,999,577,834,330 with Prime Factorization

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

2 x 3 x 76 x 333 x 577 x 139 x 55 = 669826582920

Therefore, the lowest common multiple of 456,999,577,834,330 is 669826582920.

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.

456 x 999 x 577 x 834 x 330 = 72341270955360

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

999 : 1, 3, 9, 27, 37, 111, 333, 999

577 : 1, 577

834 : 1, 2, 3, 6, 139, 278, 417, 834

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,999,577,834,330, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

999:3x 3x 3x 37

577:577

834:2x 3x 139

330:2x 3x 5x 11

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 3 = 108

Therefore, the value for common factors is 108.

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 = 72341270955360/(1x108)

LCM = 72341270955360/108

LCM = 669826582920

Thus, we can understand that the LCM of 456,999,577,834,330 is 669826582920.

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

• LCM of 691, 628, 958, 518, 976
• LCM of 930, 561, 470, 152, 580
• LCM of 802, 227, 602, 443, 100
• LCM of 971, 715, 838, 786, 182
• LCM of 871, 272, 789, 953, 268

1. What is the LCM of 456, 999, 577, 834, 330?

Answer: LCM of 456, 999, 577, 834, 330 is 669826582920.

2. How to calculate the LCM of 456, 999, 577, 834, 330?

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 456, 999, 577, 834, 330.

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}.