Given numbers are 676,710,727,589,213

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

The LCM of 676,710,727,589,213 is 308280467820.

Find LCM of 676,710,727,589,213 with Prime Factorization

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

2 x 71 x 338 x 5 x 727 x 589 x 3 = 308280467820

Therefore, the lowest common multiple of 676,710,727,589,213 is 308280467820.

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.

676 x 710 x 727 x 589 x 213 = 43775826430440

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

710 : 1, 2, 5, 10, 71, 142, 355, 710

727 : 1, 727

589 : 1, 19, 31, 589

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,710,727,589,213, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

710:2x 5x 71

727:727

589:19x 31

213:3x 71

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 43775826430440/(1x142)

LCM = 43775826430440/142

LCM = 308280467820

Thus, we can understand that the LCM of 676,710,727,589,213 is 308280467820.

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

• LCM of 507, 263, 403, 907, 840
• LCM of 811, 850, 945, 719, 214
• LCM of 831, 280, 244, 712, 214
• LCM of 636, 424, 332, 116, 492
• LCM of 391, 895, 996, 725, 196

1. What is the LCM of 676, 710, 727, 589, 213?

Answer: LCM of 676, 710, 727, 589, 213 is 308280467820.

2. How to calculate the LCM of 676, 710, 727, 589, 213?

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 676, 710, 727, 589, 213.

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}.