Given numbers are 321,205,749,646

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

The LCM of 321,205,749,646 is 297570210.

Find LCM of 321,205,749,646 with Prime Factorization

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

107 x 3 x 205 x 7 x 646 = 297570210

Therefore, the lowest common multiple of 321,205,749,646 is 297570210.

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 205 x 749 x 646 = 31840012470

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

205 : 1, 5, 41, 205

749 : 1, 7, 107, 749

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,205,749,646, is 1.

Now, the common factors can be found like this.

321:3x 107

205:5x 41

749:7x 107

646:2x 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.

107 = 107

Therefore, the value for common factors is 107.

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 = 31840012470/(1x107)

LCM = 31840012470/107

LCM = 297570210

Thus, we can understand that the LCM of 321,205,749,646 is 297570210.

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

• LCM of 548, 154, 785, 947
• LCM of 854, 480, 269, 231
• LCM of 462, 410, 462, 319
• LCM of 241, 758, 344, 745
• LCM of 176, 639, 962, 863

1. What is the LCM of 321, 205, 749, 646?

Answer: LCM of 321, 205, 749, 646 is 297570210.

2. How to calculate the LCM of 321, 205, 749, 646?

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, 205, 749, 646.

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}.