Given numbers are 678,244,508,671,610

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

The LCM of 678,244,508,671,610 is 577771260.

Find LCM of 678,244,508,671,610 with Prime Factorization

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

2 x 2 x 61 x 339 x 1 x 127 x 11 x 5 = 577771260

Therefore, the lowest common multiple of 678,244,508,671,610 is 577771260.

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.

678 x 244 x 508 x 671 x 610 = 34398189735360

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

244 : 1, 2, 4, 61, 122, 244

508 : 1, 2, 4, 127, 254, 508

671 : 1, 11, 61, 671

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,244,508,671,610, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

244:2x 2x 61

508:2x 2x 127

671:11x 61

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 61x 61 = 59536

Therefore, the value for common factors is 59536.

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 = 34398189735360/(1x59536)

LCM = 34398189735360/59536

LCM = 577771260

Thus, we can understand that the LCM of 678,244,508,671,610 is 577771260.

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

• LCM of 288, 249, 568, 210, 234
• LCM of 360, 709, 443, 881, 733
• LCM of 839, 286, 451, 409, 313
• LCM of 248, 687, 917, 418, 140
• LCM of 814, 647, 491, 988, 220

1. What is the LCM of 678, 244, 508, 671, 610?

Answer: LCM of 678, 244, 508, 671, 610 is 577771260.

2. How to calculate the LCM of 678, 244, 508, 671, 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 678, 244, 508, 671, 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}.