Given numbers are 402,190,676,208,856

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

The LCM of 402,190,676,208,856 is 5524718160.

Find LCM of 402,190,676,208,856 with Prime Factorization

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

2 x 2 x 2 x 13 x 201 x 95 x 13 x 2 x 107 = 5524718160

Therefore, the lowest common multiple of 402,190,676,208,856 is 5524718160.

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.

402 x 190 x 676 x 208 x 856 = 9193131018240

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

190 : 1, 2, 5, 10, 19, 38, 95, 190

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

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

856 : 1, 2, 4, 8, 107, 214, 428, 856

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,190,676,208,856, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

190:2x 5x 19

676:2x 2x 13x 13

208:2x 2x 2x 2x 13

856:2x 2x 2x 107

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 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 9193131018240/(2x832)

LCM = 9193131018240/1664

LCM = 5524718160

Thus, we can understand that the LCM of 402,190,676,208,856 is 5524718160.

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

• LCM of 166, 467, 670, 558, 580
• LCM of 833, 637, 853, 596, 844
• LCM of 833, 853, 616, 836, 233
• LCM of 653, 405, 655, 196, 999
• LCM of 647, 878, 359, 663, 365

1. What is the LCM of 402, 190, 676, 208, 856?

Answer: LCM of 402, 190, 676, 208, 856 is 5524718160.

2. How to calculate the LCM of 402, 190, 676, 208, 856?

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 402, 190, 676, 208, 856.

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}.