Given numbers are 470,451,726,204,714

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

The LCM of 470,451,726,204,714 is 1664812380.

Find LCM of 470,451,726,204,714 with Prime Factorization

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

2 x 3 x 11 x 17 x 235 x 41 x 11 x 2 x 7 = 1664812380

Therefore, the lowest common multiple of 470,451,726,204,714 is 1664812380.

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.

470 x 451 x 726 x 204 x 714 = 22415033884320

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

451 : 1, 11, 41, 451

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,451,726,204,714, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

451:11x 41

726:2x 3x 11x 11

204:2x 2x 3x 17

714:2x 3x 7x 17

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 3x 3x 11x 17 = 13464

Therefore, the value for common factors is 13464.

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 = 22415033884320/(1x13464)

LCM = 22415033884320/13464

LCM = 1664812380

Thus, we can understand that the LCM of 470,451,726,204,714 is 1664812380.

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

• LCM of 441, 493, 498, 216, 721
• LCM of 326, 499, 493, 516, 161
• LCM of 785, 154, 684, 329, 583
• LCM of 882, 946, 519, 562, 906
• LCM of 417, 631, 107, 562, 105

1. What is the LCM of 470, 451, 726, 204, 714?

Answer: LCM of 470, 451, 726, 204, 714 is 1664812380.

2. How to calculate the LCM of 470, 451, 726, 204, 714?

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 470, 451, 726, 204, 714.

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}.