Given numbers are 564,461,677,754,649

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

The LCM of 564,461,677,754,649 is 43068004034484.

Find LCM of 564,461,677,754,649 with Prime Factorization

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

2 x 282 x 461 x 677 x 377 x 649 = 43068004034484

Therefore, the lowest common multiple of 564,461,677,754,649 is 43068004034484.

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.

564 x 461 x 677 x 754 x 649 = 86136008068968

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

461 : 1, 461

677 : 1, 677

754 : 1, 2, 13, 26, 29, 58, 377, 754

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,461,677,754,649, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

461:461

677:677

754:2x 13x 29

649:11x 59

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

2 = 2

Therefore, the value for common factors is 2.

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 = 86136008068968/(1x2)

LCM = 86136008068968/2

LCM = 43068004034484

Thus, we can understand that the LCM of 564,461,677,754,649 is 43068004034484.

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

• LCM of 715, 145, 191, 651, 730
• LCM of 733, 220, 372, 732, 762
• LCM of 633, 136, 429, 319, 372
• LCM of 586, 369, 501, 789, 689
• LCM of 502, 604, 272, 500, 441

1. What is the LCM of 564, 461, 677, 754, 649?

Answer: LCM of 564, 461, 677, 754, 649 is 43068004034484.

2. How to calculate the LCM of 564, 461, 677, 754, 649?

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 564, 461, 677, 754, 649.

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}.