Given numbers are 690,585,975,814,879

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

The LCM of 690,585,975,814,879 is 16045222050.

Find LCM of 690,585,975,814,879 with Prime Factorization

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

2 x 3 x 5 x 13 x 23 x 3 x 5 x 407 x 293 = 16045222050

Therefore, the lowest common multiple of 690,585,975,814,879 is 16045222050.

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.

690 x 585 x 975 x 814 x 879 = 281593646977500

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

814 : 1, 2, 11, 22, 37, 74, 407, 814

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,585,975,814,879, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

585:3x 3x 5x 13

975:3x 5x 5x 13

814:2x 11x 37

879:3x 293

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

2x 3x 3x 3x 5x 5x 13 = 17550

Therefore, the value for common factors is 17550.

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 = 281593646977500/(1x17550)

LCM = 281593646977500/17550

LCM = 16045222050

Thus, we can understand that the LCM of 690,585,975,814,879 is 16045222050.

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

• LCM of 263, 217, 350, 325, 384
• LCM of 350, 104, 668, 863, 458
• LCM of 577, 708, 313, 363, 258
• LCM of 821, 821, 450, 974, 439
• LCM of 205, 154, 740, 542, 496

1. What is the LCM of 690, 585, 975, 814, 879?

Answer: LCM of 690, 585, 975, 814, 879 is 16045222050.

2. How to calculate the LCM of 690, 585, 975, 814, 879?

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 690, 585, 975, 814, 879.

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}.