Given numbers are 817,590,122,714

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

The LCM of 817,590,122,714 is 10497167310.

Find LCM of 817,590,122,714 with Prime Factorization

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

2 x 817 x 295 x 61 x 357 = 10497167310

Therefore, the lowest common multiple of 817,590,122,714 is 10497167310.

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.

817 x 590 x 122 x 714 = 41988669240

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.

817 : 1, 19, 43, 817

590 : 1, 2, 5, 10, 59, 118, 295, 590

122 : 1, 2, 61, 122

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 817,590,122,714, is 1.

Now, the common factors can be found like this.

817:19x 43

590:2x 5x 59

122:2x 61

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 2 = 4

Therefore, the value for common factors is 4.

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 = 41988669240/(1x4)

LCM = 41988669240/4

LCM = 10497167310

Thus, we can understand that the LCM of 817,590,122,714 is 10497167310.

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

• LCM of 262, 941, 552, 241
• LCM of 389, 557, 537, 628
• LCM of 608, 199, 497, 831
• LCM of 373, 355, 357, 342
• LCM of 978, 136, 933, 169

1. What is the LCM of 817, 590, 122, 714?

Answer: LCM of 817, 590, 122, 714 is 10497167310.

2. How to calculate the LCM of 817, 590, 122, 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 817, 590, 122, 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}.