Given numbers are 781,268,349,460

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

The LCM of 781,268,349,460 is 8400576580.

Find LCM of 781,268,349,460 with Prime Factorization

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

2 x 2 x 781 x 67 x 349 x 115 = 8400576580

Therefore, the lowest common multiple of 781,268,349,460 is 8400576580.

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.

781 x 268 x 349 x 460 = 33602306320

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.

781 : 1, 11, 71, 781

268 : 1, 2, 4, 67, 134, 268

349 : 1, 349

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 781,268,349,460, is 1.

Now, the common factors can be found like this.

781:11x 71

268:2x 2x 67

349:349

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 2 = 4

Therefore, the value for common factors is 4.

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 = 33602306320/(1x4)

LCM = 33602306320/4

LCM = 8400576580

Thus, we can understand that the LCM of 781,268,349,460 is 8400576580.

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

• LCM of 239, 475, 316, 850
• LCM of 897, 968, 782, 290
• LCM of 115, 136, 878, 846
• LCM of 867, 127, 116, 987
• LCM of 981, 112, 567, 310

1. What is the LCM of 781, 268, 349, 460?

Answer: LCM of 781, 268, 349, 460 is 8400576580.

2. How to calculate the LCM of 781, 268, 349, 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 781, 268, 349, 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}.