Given numbers are 735,312,914,544,880

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

The LCM of 735,312,914,544,880 is 26129943840.

Find LCM of 735,312,914,544,880 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 49 x 13 x 457 x 34 x 11 = 26129943840

Therefore, the lowest common multiple of 735,312,914,544,880 is 26129943840.

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.

735 x 312 x 914 x 544 x 880 = 100338984345600

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

914 : 1, 2, 457, 914

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,312,914,544,880, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

312:2x 2x 2x 3x 13

914:2x 457

544:2x 2x 2x 2x 2x 17

880:2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2x 3x 5 = 3840

Therefore, the value for common factors is 3840.

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 = 100338984345600/(1x3840)

LCM = 100338984345600/3840

LCM = 26129943840

Thus, we can understand that the LCM of 735,312,914,544,880 is 26129943840.

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

• LCM of 138, 309, 982, 350, 788
• LCM of 621, 243, 274, 858, 200
• LCM of 137, 837, 460, 222, 332
• LCM of 693, 502, 203, 812, 905
• LCM of 722, 381, 476, 403, 755

1. What is the LCM of 735, 312, 914, 544, 880?

Answer: LCM of 735, 312, 914, 544, 880 is 26129943840.

2. How to calculate the LCM of 735, 312, 914, 544, 880?

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 735, 312, 914, 544, 880.

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}.