Given numbers are 343,109,728,861

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

The LCM of 343,109,728,861 is 478254504.

Find LCM of 343,109,728,861 with Prime Factorization

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

7 x 49 x 109 x 104 x 123 = 478254504

Therefore, the lowest common multiple of 343,109,728,861 is 478254504.

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.

343 x 109 x 728 x 861 = 23434470696

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.

343 : 1, 7, 49, 343

109 : 1, 109

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

861 : 1, 3, 7, 21, 41, 123, 287, 861

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,109,728,861, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

109:109

728:2x 2x 2x 7x 13

861:3x 7x 41

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 23434470696/(1x49)

LCM = 23434470696/49

LCM = 478254504

Thus, we can understand that the LCM of 343,109,728,861 is 478254504.

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

• LCM of 642, 214, 220, 196
• LCM of 459, 823, 592, 352
• LCM of 363, 139, 664, 171
• LCM of 663, 286, 726, 389
• LCM of 619, 433, 257, 197

1. What is the LCM of 343, 109, 728, 861?

Answer: LCM of 343, 109, 728, 861 is 478254504.

2. How to calculate the LCM of 343, 109, 728, 861?

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 343, 109, 728, 861.

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}.