Given numbers are 343,351,305,579

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

The LCM of 343,351,305,579 is 7086933945.

Find LCM of 343,351,305,579 with Prime Factorization

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

3 x 343 x 117 x 305 x 193 = 7086933945

Therefore, the lowest common multiple of 343,351,305,579 is 7086933945.

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 351 x 305 x 579 = 21260801835

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

305 : 1, 5, 61, 305

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,351,305,579, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

351:3x 3x 3x 13

305:5x 61

579:3x 193

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

3 = 3

Therefore, the value for common factors is 3.

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 = 21260801835/(1x3)

LCM = 21260801835/3

LCM = 7086933945

Thus, we can understand that the LCM of 343,351,305,579 is 7086933945.

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

• LCM of 406, 147, 322, 224
• LCM of 834, 488, 186, 846
• LCM of 971, 926, 147, 445
• LCM of 659, 673, 273, 583
• LCM of 867, 651, 882, 417

1. What is the LCM of 343, 351, 305, 579?

Answer: LCM of 343, 351, 305, 579 is 7086933945.

2. How to calculate the LCM of 343, 351, 305, 579?

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, 351, 305, 579.

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}.