Given numbers are 677,924,377,855,742

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

The LCM of 677,924,377,855,742 is 3562236257580.

Find LCM of 677,924,377,855,742 with Prime Factorization

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

2 x 3 x 7 x 677 x 22 x 377 x 285 x 53 = 3562236257580

Therefore, the lowest common multiple of 677,924,377,855,742 is 3562236257580.

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.

677 x 924 x 377 x 855 x 742 = 149613922818360

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.

677 : 1, 677

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

377 : 1, 13, 29, 377

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,924,377,855,742, is 1.

Now, the common factors can be found like this.

677:677

924:2x 2x 3x 7x 11

377:13x 29

855:3x 3x 5x 19

742:2x 7x 53

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

2x 3x 7 = 42

Therefore, the value for common factors is 42.

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 = 149613922818360/(1x42)

LCM = 149613922818360/42

LCM = 3562236257580

Thus, we can understand that the LCM of 677,924,377,855,742 is 3562236257580.

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

• LCM of 716, 649, 684, 955, 463
• LCM of 544, 852, 498, 103, 322
• LCM of 868, 385, 308, 640, 542
• LCM of 672, 594, 813, 999, 556
• LCM of 660, 315, 850, 856, 108

1. What is the LCM of 677, 924, 377, 855, 742?

Answer: LCM of 677, 924, 377, 855, 742 is 3562236257580.

2. How to calculate the LCM of 677, 924, 377, 855, 742?

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 677, 924, 377, 855, 742.

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}.