Given numbers are 456,585,977,649,445

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

The LCM of 456,585,977,649,445 is 5017977633240.

Find LCM of 456,585,977,649,445 with Prime Factorization

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

3 x 5 x 152 x 39 x 977 x 649 x 89 = 5017977633240

Therefore, the lowest common multiple of 456,585,977,649,445 is 5017977633240.

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 585 x 977 x 649 x 445 = 75269664498600

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

977 : 1, 977

649 : 1, 11, 59, 649

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,585,977,649,445, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

585:3x 3x 5x 13

977:977

649:11x 59

445:5x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 75269664498600/(1x15)

LCM = 75269664498600/15

LCM = 5017977633240

Thus, we can understand that the LCM of 456,585,977,649,445 is 5017977633240.

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

• LCM of 528, 495, 474, 575, 443
• LCM of 453, 616, 705, 361, 386
• LCM of 362, 565, 478, 654, 367
• LCM of 801, 286, 881, 217, 184
• LCM of 826, 782, 673, 858, 722

1. What is the LCM of 456, 585, 977, 649, 445?

Answer: LCM of 456, 585, 977, 649, 445 is 5017977633240.

2. How to calculate the LCM of 456, 585, 977, 649, 445?

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, 585, 977, 649, 445.

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}.