Given numbers are 398,156,806,460

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

The LCM of 398,156,806,460 is 110671860.

Find LCM of 398,156,806,460 with Prime Factorization

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

2 x 2 x 13 x 199 x 3 x 31 x 115 = 110671860

Therefore, the lowest common multiple of 398,156,806,460 is 110671860.

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.

398 x 156 x 806 x 460 = 23019746880

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.

398 : 1, 2, 199, 398

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

806 : 1, 2, 13, 26, 31, 62, 403, 806

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,156,806,460, is 2.

Now, the common factors can be found like this.

398:2x 199

156:2x 2x 3x 13

806:2x 13x 31

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.

2x 2x 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 23019746880/(2x104)

LCM = 23019746880/208

LCM = 110671860

Thus, we can understand that the LCM of 398,156,806,460 is 110671860.

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

• LCM of 647, 594, 318, 741
• LCM of 724, 681, 312, 496
• LCM of 562, 784, 886, 298
• LCM of 610, 262, 494, 654
• LCM of 955, 969, 409, 724

1. What is the LCM of 398, 156, 806, 460?

Answer: LCM of 398, 156, 806, 460 is 110671860.

2. How to calculate the LCM of 398, 156, 806, 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 398, 156, 806, 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}.