Given numbers are 705,104,798,278,417

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

The LCM of 705,104,798,278,417 is 1355466840.

Find LCM of 705,104,798,278,417 with Prime Factorization

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

2 x 3 x 139 x 235 x 52 x 133 x 1 x 1 = 1355466840

Therefore, the lowest common multiple of 705,104,798,278,417 is 1355466840.

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.

705 x 104 x 798 x 278 x 417 = 6782756067360

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

104 : 1, 2, 4, 8, 13, 26, 52, 104

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

278 : 1, 2, 139, 278

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,104,798,278,417, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

104:2x 2x 2x 13

798:2x 3x 7x 19

278:2x 139

417:3x 139

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 3x 3x 139 = 5004

Therefore, the value for common factors is 5004.

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 = 6782756067360/(1x5004)

LCM = 6782756067360/5004

LCM = 1355466840

Thus, we can understand that the LCM of 705,104,798,278,417 is 1355466840.

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

• LCM of 336, 933, 255, 248, 966
• LCM of 788, 813, 227, 789, 933
• LCM of 888, 554, 194, 734, 705
• LCM of 264, 500, 965, 570, 805
• LCM of 768, 707, 481, 537, 181

1. What is the LCM of 705, 104, 798, 278, 417?

Answer: LCM of 705, 104, 798, 278, 417 is 1355466840.

2. How to calculate the LCM of 705, 104, 798, 278, 417?

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 705, 104, 798, 278, 417.

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}.