Given numbers are 279,960,704,214

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

The LCM of 279,960,704,214 is 105082560.

Find LCM of 279,960,704,214 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 93 x 5 x 11 x 107 = 105082560

Therefore, the lowest common multiple of 279,960,704,214 is 105082560.

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 960 x 704 x 214 = 40351703040

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,960,704,214, is 1.

Now, the common factors can be found like this.

279:3x 3x 31

960:2x 2x 2x 2x 2x 2x 3x 5

704:2x 2x 2x 2x 2x 2x 11

214:2x 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 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 40351703040/(1x384)

LCM = 40351703040/384

LCM = 105082560

Thus, we can understand that the LCM of 279,960,704,214 is 105082560.

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

• LCM of 340, 495, 665, 997
• LCM of 472, 661, 489, 953
• LCM of 797, 112, 950, 822
• LCM of 615, 310, 517, 626
• LCM of 642, 822, 583, 152

1. What is the LCM of 279, 960, 704, 214?

Answer: LCM of 279, 960, 704, 214 is 105082560.

2. How to calculate the LCM of 279, 960, 704, 214?

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, 960, 704, 214.

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}.