Given numbers are 770,924,432,747,457

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

The LCM of 770,924,432,747,457 is 6308683920.

Find LCM of 770,924,432,747,457 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 11 x 5 x 1 x 12 x 83 x 457 = 6308683920

Therefore, the lowest common multiple of 770,924,432,747,457 is 6308683920.

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.

770 x 924 x 432 x 747 x 457 = 104926030957440

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.

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

747 : 1, 3, 9, 83, 249, 747

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,924,432,747,457, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

924:2x 2x 3x 7x 11

432:2x 2x 2x 2x 3x 3x 3

747:3x 3x 83

457:457

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 3x 3x 3x 7x 11 = 16632

Therefore, the value for common factors is 16632.

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 = 104926030957440/(1x16632)

LCM = 104926030957440/16632

LCM = 6308683920

Thus, we can understand that the LCM of 770,924,432,747,457 is 6308683920.

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

• LCM of 767, 877, 483, 903, 978
• LCM of 760, 142, 833, 530, 133
• LCM of 398, 434, 642, 905, 170
• LCM of 888, 243, 352, 662, 927
• LCM of 967, 181, 499, 539, 493

1. What is the LCM of 770, 924, 432, 747, 457?

Answer: LCM of 770, 924, 432, 747, 457 is 6308683920.

2. How to calculate the LCM of 770, 924, 432, 747, 457?

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 770, 924, 432, 747, 457.

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}.