Given numbers are 722,702,762,552,312

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

The LCM of 722,702,762,552,312 is 2960982648.

Find LCM of 722,702,762,552,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 361 x 9 x 127 x 23 x 1 = 2960982648

Therefore, the lowest common multiple of 722,702,762,552,312 is 2960982648.

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.

722 x 702 x 762 x 552 x 312 = 66515514204672

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.

722 : 1, 2, 19, 38, 361, 722

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

762 : 1, 2, 3, 6, 127, 254, 381, 762

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,702,762,552,312, is 2.

Now, the common factors can be found like this.

722:2x 19x 19

702:2x 3x 3x 3x 13

762:2x 3x 127

552:2x 2x 2x 3x 23

312:2x 2x 2x 3x 13

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 3x 3x 3x 13 = 11232

Therefore, the value for common factors is 11232.

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 = 66515514204672/(2x11232)

LCM = 66515514204672/22464

LCM = 2960982648

Thus, we can understand that the LCM of 722,702,762,552,312 is 2960982648.

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

• LCM of 420, 534, 164, 940, 522
• LCM of 927, 238, 922, 455, 821
• LCM of 504, 583, 489, 548, 293
• LCM of 585, 293, 572, 935, 242
• LCM of 446, 616, 851, 889, 618

1. What is the LCM of 722, 702, 762, 552, 312?

Answer: LCM of 722, 702, 762, 552, 312 is 2960982648.

2. How to calculate the LCM of 722, 702, 762, 552, 312?

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 722, 702, 762, 552, 312.

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}.