Given numbers are 704,928,506,336,610

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

The LCM of 704,928,506,336,610 is 3007583040.

Find LCM of 704,928,506,336,610 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 11 x 2 x 29 x 23 x 21 x 305 = 3007583040

Therefore, the lowest common multiple of 704,928,506,336,610 is 3007583040.

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.

704 x 928 x 506 x 336 x 610 = 67754830725120

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

506 : 1, 2, 11, 22, 23, 46, 253, 506

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

610 : 1, 2, 5, 10, 61, 122, 305, 610

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,928,506,336,610, is 2.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

928:2x 2x 2x 2x 2x 29

506:2x 11x 23

336:2x 2x 2x 2x 3x 7

610:2x 5x 61

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 2x 2x 11 = 11264

Therefore, the value for common factors is 11264.

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 = 67754830725120/(2x11264)

LCM = 67754830725120/22528

LCM = 3007583040

Thus, we can understand that the LCM of 704,928,506,336,610 is 3007583040.

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

• LCM of 717, 349, 870, 851, 648
• LCM of 951, 662, 827, 582, 170
• LCM of 998, 264, 390, 650, 686
• LCM of 849, 748, 188, 820, 921
• LCM of 586, 108, 909, 142, 794

1. What is the LCM of 704, 928, 506, 336, 610?

Answer: LCM of 704, 928, 506, 336, 610 is 3007583040.

2. How to calculate the LCM of 704, 928, 506, 336, 610?

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 704, 928, 506, 336, 610.

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}.