Given numbers are 829,422,946,324

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

The LCM of 829,422,946,324 is 26806686588.

Find LCM of 829,422,946,324 with Prime Factorization

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

2 x 829 x 211 x 473 x 162 = 26806686588

Therefore, the lowest common multiple of 829,422,946,324 is 26806686588.

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.

829 x 422 x 946 x 324 = 107226746352

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.

829 : 1, 829

422 : 1, 2, 211, 422

946 : 1, 2, 11, 22, 43, 86, 473, 946

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,422,946,324, is 1.

Now, the common factors can be found like this.

829:829

422:2x 211

946:2x 11x 43

324:2x 2x 3x 3x 3x 3

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 = 107226746352/(1x4)

LCM = 107226746352/4

LCM = 26806686588

Thus, we can understand that the LCM of 829,422,946,324 is 26806686588.

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

• LCM of 288, 910, 795, 496
• LCM of 952, 120, 407, 380
• LCM of 368, 719, 914, 790
• LCM of 594, 360, 337, 301
• LCM of 649, 734, 993, 363

1. What is the LCM of 829, 422, 946, 324?

Answer: LCM of 829, 422, 946, 324 is 26806686588.

2. How to calculate the LCM of 829, 422, 946, 324?

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 829, 422, 946, 324.

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}.