Given numbers are 879,200,313,714

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

The LCM of 879,200,313,714 is 6548022600.

Find LCM of 879,200,313,714 with Prime Factorization

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

2 x 3 x 293 x 100 x 313 x 119 = 6548022600

Therefore, the lowest common multiple of 879,200,313,714 is 6548022600.

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.

879 x 200 x 313 x 714 = 39288135600

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.

879 : 1, 3, 293, 879

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

313 : 1, 313

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,200,313,714, is 1.

Now, the common factors can be found like this.

879:3x 293

200:2x 2x 2x 5x 5

313:313

714:2x 3x 7x 17

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 = 39288135600/(1x6)

LCM = 39288135600/6

LCM = 6548022600

Thus, we can understand that the LCM of 879,200,313,714 is 6548022600.

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

• LCM of 281, 145, 410, 348
• LCM of 966, 150, 697, 106
• LCM of 672, 519, 474, 795
• LCM of 463, 923, 482, 575
• LCM of 113, 605, 224, 323

1. What is the LCM of 879, 200, 313, 714?

Answer: LCM of 879, 200, 313, 714 is 6548022600.

2. How to calculate the LCM of 879, 200, 313, 714?

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 879, 200, 313, 714.

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}.