Given numbers are 678,802,460,273

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

The LCM of 678,802,460,273 is 5690406540.

Find LCM of 678,802,460,273 with Prime Factorization

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

2 x 3 x 113 x 401 x 230 x 91 = 5690406540

Therefore, the lowest common multiple of 678,802,460,273 is 5690406540.

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 802 x 460 x 273 = 68284878480

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

802 : 1, 2, 401, 802

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,802,460,273, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

802:2x 401

460:2x 2x 5x 23

273:3x 7x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 68284878480/(1x12)

LCM = 68284878480/12

LCM = 5690406540

Thus, we can understand that the LCM of 678,802,460,273 is 5690406540.

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

• LCM of 183, 488, 575, 905
• LCM of 484, 956, 196, 739
• LCM of 616, 803, 502, 679
• LCM of 609, 463, 209, 987
• LCM of 792, 981, 725, 164

1. What is the LCM of 678, 802, 460, 273?

Answer: LCM of 678, 802, 460, 273 is 5690406540.

2. How to calculate the LCM of 678, 802, 460, 273?

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, 802, 460, 273.

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}.