Given numbers are 705,352,417,528,701

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

The LCM of 705,352,417,528,701 is 24180462240.

Find LCM of 705,352,417,528,701 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 235 x 2 x 139 x 1 x 701 = 24180462240

Therefore, the lowest common multiple of 705,352,417,528,701 is 24180462240.

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 352 x 417 x 528 x 701 = 38301852188160

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

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

417 : 1, 3, 139, 417

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,352,417,528,701, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

352:2x 2x 2x 2x 2x 11

417:3x 139

528:2x 2x 2x 2x 3x 11

701:701

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 3x 3x 11 = 1584

Therefore, the value for common factors is 1584.

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 = 38301852188160/(1x1584)

LCM = 38301852188160/1584

LCM = 24180462240

Thus, we can understand that the LCM of 705,352,417,528,701 is 24180462240.

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

• LCM of 549, 653, 308, 114, 356
• LCM of 777, 993, 929, 374, 477
• LCM of 841, 704, 725, 426, 797
• LCM of 146, 619, 926, 283, 104
• LCM of 347, 924, 229, 745, 208

1. What is the LCM of 705, 352, 417, 528, 701?

Answer: LCM of 705, 352, 417, 528, 701 is 24180462240.

2. How to calculate the LCM of 705, 352, 417, 528, 701?

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, 352, 417, 528, 701.

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}.