Given numbers are 560,470,234,430,418

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

The LCM of 560,470,234,430,418 is 27674927280.

Find LCM of 560,470,234,430,418 with Prime Factorization

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

2 x 5 x 56 x 47 x 117 x 43 x 209 = 27674927280

Therefore, the lowest common multiple of 560,470,234,430,418 is 27674927280.

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.

560 x 470 x 234 x 430 x 418 = 11069970912000

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

470 : 1, 2, 5, 10, 47, 94, 235, 470

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

430 : 1, 2, 5, 10, 43, 86, 215, 430

418 : 1, 2, 11, 19, 22, 38, 209, 418

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,470,234,430,418, is 2.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

470:2x 5x 47

234:2x 3x 3x 13

430:2x 5x 43

418:2x 11x 19

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 11069970912000/(2x200)

LCM = 11069970912000/400

LCM = 27674927280

Thus, we can understand that the LCM of 560,470,234,430,418 is 27674927280.

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

• LCM of 801, 396, 674, 764, 546
• LCM of 438, 981, 252, 586, 707
• LCM of 280, 324, 708, 383, 564
• LCM of 437, 633, 895, 547, 467
• LCM of 834, 762, 942, 813, 946

1. What is the LCM of 560, 470, 234, 430, 418?

Answer: LCM of 560, 470, 234, 430, 418 is 27674927280.

2. How to calculate the LCM of 560, 470, 234, 430, 418?

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 560, 470, 234, 430, 418.

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}.