Given numbers are 343,468,471,668,478

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

The LCM of 343,468,471,668,478 is 1005898122684.

Find LCM of 343,468,471,668,478 with Prime Factorization

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

2 x 2 x 3 x 343 x 39 x 157 x 167 x 239 = 1005898122684

Therefore, the lowest common multiple of 343,468,471,668,478 is 1005898122684.

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 468 x 471 x 668 x 478 = 24141554944416

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

471 : 1, 3, 157, 471

668 : 1, 2, 4, 167, 334, 668

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,468,471,668,478, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

468:2x 2x 3x 3x 13

471:3x 157

668:2x 2x 167

478:2x 239

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 24141554944416/(1x24)

LCM = 24141554944416/24

LCM = 1005898122684

Thus, we can understand that the LCM of 343,468,471,668,478 is 1005898122684.

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

• LCM of 719, 787, 629, 917, 462
• LCM of 591, 884, 147, 421, 510
• LCM of 879, 204, 844, 985, 268
• LCM of 328, 921, 308, 966, 928
• LCM of 176, 768, 605, 723, 904

1. What is the LCM of 343, 468, 471, 668, 478?

Answer: LCM of 343, 468, 471, 668, 478 is 1005898122684.

2. How to calculate the LCM of 343, 468, 471, 668, 478?

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, 468, 471, 668, 478.

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}.