Given numbers are 705,391,445,460

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

The LCM of 705,391,445,460 is 98133180.

Find LCM of 705,391,445,460 with Prime Factorization

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

5 x 23 x 141 x 17 x 89 x 4 = 98133180

Therefore, the lowest common multiple of 705,391,445,460 is 98133180.

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 391 x 445 x 460 = 56426578500

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

391 : 1, 17, 23, 391

445 : 1, 5, 89, 445

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,391,445,460, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

391:17x 23

445:5x 89

460:2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 56426578500/(1x575)

LCM = 56426578500/575

LCM = 98133180

Thus, we can understand that the LCM of 705,391,445,460 is 98133180.

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

• LCM of 264, 332, 498, 495
• LCM of 639, 167, 903, 426
• LCM of 513, 797, 321, 197
• LCM of 109, 647, 203, 950
• LCM of 280, 833, 563, 757

1. What is the LCM of 705, 391, 445, 460?

Answer: LCM of 705, 391, 445, 460 is 98133180.

2. How to calculate the LCM of 705, 391, 445, 460?

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, 391, 445, 460.

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}.