Given numbers are 829,869,442,306

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

The LCM of 829,869,442,306 is 2865755178.

Find LCM of 829,869,442,306 with Prime Factorization

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

2 x 17 x 829 x 869 x 13 x 9 = 2865755178

Therefore, the lowest common multiple of 829,869,442,306 is 2865755178.

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 869 x 442 x 306 = 97435676052

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

869 : 1, 11, 79, 869

442 : 1, 2, 13, 17, 26, 34, 221, 442

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,869,442,306, is 1.

Now, the common factors can be found like this.

829:829

869:11x 79

442:2x 13x 17

306:2x 3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 97435676052/(1x34)

LCM = 97435676052/34

LCM = 2865755178

Thus, we can understand that the LCM of 829,869,442,306 is 2865755178.

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

• LCM of 298, 140, 747, 354
• LCM of 638, 759, 245, 560
• LCM of 200, 576, 537, 237
• LCM of 360, 155, 184, 972
• LCM of 565, 710, 965, 219

1. What is the LCM of 829, 869, 442, 306?

Answer: LCM of 829, 869, 442, 306 is 2865755178.

2. How to calculate the LCM of 829, 869, 442, 306?

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, 869, 442, 306.

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}.