Given numbers are 470,156,454,520,676

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

The LCM of 470,156,454,520,676 is 216367320.

Find LCM of 470,156,454,520,676 with Prime Factorization

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

2 x 2 x 5 x 13 x 47 x 3 x 227 x 2 x 13 = 216367320

Therefore, the lowest common multiple of 470,156,454,520,676 is 216367320.

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.

470 x 156 x 454 x 520 x 676 = 11701144665600

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.

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

454 : 1, 2, 227, 454

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,156,454,520,676, is 2.

Now, the common factors can be found like this.

470:2x 5x 47

156:2x 2x 3x 13

454:2x 227

520:2x 2x 2x 5x 13

676:2x 2x 13x 13

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 2x 2x 5x 13x 13 = 27040

Therefore, the value for common factors is 27040.

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 = 11701144665600/(2x27040)

LCM = 11701144665600/54080

LCM = 216367320

Thus, we can understand that the LCM of 470,156,454,520,676 is 216367320.

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

• LCM of 109, 259, 783, 824, 943
• LCM of 300, 845, 671, 411, 982
• LCM of 371, 377, 596, 361, 671
• LCM of 427, 110, 156, 801, 518
• LCM of 212, 628, 137, 151, 777

1. What is the LCM of 470, 156, 454, 520, 676?

Answer: LCM of 470, 156, 454, 520, 676 is 216367320.

2. How to calculate the LCM of 470, 156, 454, 520, 676?

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 470, 156, 454, 520, 676.

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}.