Given numbers are 279,380,381,826

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

The LCM of 279,380,381,826 is 5560855020.

Find LCM of 279,380,381,826 with Prime Factorization

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

2 x 3 x 93 x 190 x 127 x 413 = 5560855020

Therefore, the lowest common multiple of 279,380,381,826 is 5560855020.

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.

279 x 380 x 381 x 826 = 33365130120

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.

279 : 1, 3, 9, 31, 93, 279

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

381 : 1, 3, 127, 381

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,380,381,826, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

380:2x 2x 5x 19

381:3x 127

826:2x 7x 59

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 33365130120/(1x6)

LCM = 33365130120/6

LCM = 5560855020

Thus, we can understand that the LCM of 279,380,381,826 is 5560855020.

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

• LCM of 313, 600, 498, 930
• LCM of 494, 888, 930, 686
• LCM of 836, 429, 723, 561
• LCM of 116, 367, 769, 228
• LCM of 477, 799, 711, 600

1. What is the LCM of 279, 380, 381, 826?

Answer: LCM of 279, 380, 381, 826 is 5560855020.

2. How to calculate the LCM of 279, 380, 381, 826?

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 279, 380, 381, 826.

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}.