Given numbers are 321,710,900,337,969

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

The LCM of 321,710,900,337,969 is 744246942300.

Find LCM of 321,710,900,337,969 with Prime Factorization

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

2 x 3 x 5 x 107 x 71 x 30 x 337 x 323 = 744246942300

Therefore, the lowest common multiple of 321,710,900,337,969 is 744246942300.

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.

321 x 710 x 900 x 337 x 969 = 66982224807000

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.

321 : 1, 3, 107, 321

710 : 1, 2, 5, 10, 71, 142, 355, 710

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

337 : 1, 337

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,710,900,337,969, is 1.

Now, the common factors can be found like this.

321:3x 107

710:2x 5x 71

900:2x 2x 3x 3x 5x 5

337:337

969:3x 17x 19

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

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 66982224807000/(1x90)

LCM = 66982224807000/90

LCM = 744246942300

Thus, we can understand that the LCM of 321,710,900,337,969 is 744246942300.

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

• LCM of 419, 200, 412, 442, 914
• LCM of 373, 734, 467, 199, 346
• LCM of 397, 212, 279, 821, 801
• LCM of 229, 991, 308, 800, 825
• LCM of 474, 964, 181, 281, 342

1. What is the LCM of 321, 710, 900, 337, 969?

Answer: LCM of 321, 710, 900, 337, 969 is 744246942300.

2. How to calculate the LCM of 321, 710, 900, 337, 969?

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 321, 710, 900, 337, 969.

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}.