Given numbers are 786,828,398,422

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

The LCM of 786,828,398,422 is 4554462852.

Find LCM of 786,828,398,422 with Prime Factorization

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

2 x 3 x 131 x 138 x 199 x 211 = 4554462852

Therefore, the lowest common multiple of 786,828,398,422 is 4554462852.

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.

786 x 828 x 398 x 422 = 109307108448

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

398 : 1, 2, 199, 398

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,828,398,422, is 2.

Now, the common factors can be found like this.

786:2x 3x 131

828:2x 2x 3x 3x 23

398:2x 199

422:2x 211

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 = 109307108448/(2x12)

LCM = 109307108448/24

LCM = 4554462852

Thus, we can understand that the LCM of 786,828,398,422 is 4554462852.

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

• LCM of 182, 293, 968, 980
• LCM of 772, 930, 399, 443
• LCM of 936, 474, 373, 558
• LCM of 358, 483, 978, 167
• LCM of 171, 551, 574, 975

1. What is the LCM of 786, 828, 398, 422?

Answer: LCM of 786, 828, 398, 422 is 4554462852.

2. How to calculate the LCM of 786, 828, 398, 422?

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 786, 828, 398, 422.

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}.