Given numbers are 278,498,402,396,696

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

The LCM of 278,498,402,396,696 is 17753781672.

Find LCM of 278,498,402,396,696 with Prime Factorization

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

2 x 2 x 3 x 139 x 83 x 67 x 33 x 58 = 17753781672

Therefore, the lowest common multiple of 278,498,402,396,696 is 17753781672.

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.

278 x 498 x 402 x 396 x 696 = 15339267364608

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.

278 : 1, 2, 139, 278

498 : 1, 2, 3, 6, 83, 166, 249, 498

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,498,402,396,696, is 2.

Now, the common factors can be found like this.

278:2x 139

498:2x 3x 83

402:2x 3x 67

396:2x 2x 3x 3x 11

696:2x 2x 2x 3x 29

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 15339267364608/(2x432)

LCM = 15339267364608/864

LCM = 17753781672

Thus, we can understand that the LCM of 278,498,402,396,696 is 17753781672.

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

• LCM of 736, 224, 779, 264, 499
• LCM of 470, 856, 861, 663, 175
• LCM of 956, 452, 148, 896, 152
• LCM of 931, 130, 486, 309, 390
• LCM of 761, 531, 815, 261, 899

1. What is the LCM of 278, 498, 402, 396, 696?

Answer: LCM of 278, 498, 402, 396, 696 is 17753781672.

2. How to calculate the LCM of 278, 498, 402, 396, 696?

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 278, 498, 402, 396, 696.

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}.