Given numbers are 589,380,513,421

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

The LCM of 589,380,513,421 is 133903260.

Find LCM of 589,380,513,421 with Prime Factorization

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

19 x 31 x 20 x 27 x 421 = 133903260

Therefore, the lowest common multiple of 589,380,513,421 is 133903260.

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.

589 x 380 x 513 x 421 = 48339076860

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.

589 : 1, 19, 31, 589

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

513 : 1, 3, 9, 19, 27, 57, 171, 513

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,380,513,421, is 1.

Now, the common factors can be found like this.

589:19x 31

380:2x 2x 5x 19

513:3x 3x 3x 19

421:421

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 48339076860/(1x361)

LCM = 48339076860/361

LCM = 133903260

Thus, we can understand that the LCM of 589,380,513,421 is 133903260.

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

• LCM of 338, 157, 460, 825
• LCM of 287, 100, 878, 976
• LCM of 530, 747, 588, 553
• LCM of 532, 930, 159, 916
• LCM of 392, 347, 105, 455

1. What is the LCM of 589, 380, 513, 421?

Answer: LCM of 589, 380, 513, 421 is 133903260.

2. How to calculate the LCM of 589, 380, 513, 421?

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 589, 380, 513, 421.

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}.