Given numbers are 321,749,740,849,417

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

The LCM of 321,749,740,849,417 is 65408776860.

Find LCM of 321,749,740,849,417 with Prime Factorization

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

3 x 107 x 1 x 7 x 740 x 283 x 139 = 65408776860

Therefore, the lowest common multiple of 321,749,740,849,417 is 65408776860.

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 749 x 740 x 849 x 417 = 62988652116180

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

749 : 1, 7, 107, 749

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

849 : 1, 3, 283, 849

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,749,740,849,417, is 1.

Now, the common factors can be found like this.

321:3x 107

749:7x 107

740:2x 2x 5x 37

849:3x 283

417:3x 139

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

3x 3x 107 = 963

Therefore, the value for common factors is 963.

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 = 62988652116180/(1x963)

LCM = 62988652116180/963

LCM = 65408776860

Thus, we can understand that the LCM of 321,749,740,849,417 is 65408776860.

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

• LCM of 670, 109, 797, 738, 834
• LCM of 179, 648, 589, 696, 413
• LCM of 685, 229, 806, 328, 379
• LCM of 206, 597, 734, 699, 723
• LCM of 738, 713, 641, 552, 311

1. What is the LCM of 321, 749, 740, 849, 417?

Answer: LCM of 321, 749, 740, 849, 417 is 65408776860.

2. How to calculate the LCM of 321, 749, 740, 849, 417?

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, 749, 740, 849, 417.

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}.