Given numbers are 589,596,398,114

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

The LCM of 589,596,398,114 is 209573268.

Find LCM of 589,596,398,114 with Prime Factorization

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

2 x 19 x 31 x 298 x 199 x 3 = 209573268

Therefore, the lowest common multiple of 589,596,398,114 is 209573268.

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 596 x 398 x 114 = 15927568368

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

596 : 1, 2, 4, 149, 298, 596

398 : 1, 2, 199, 398

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,596,398,114, is 1.

Now, the common factors can be found like this.

589:19x 31

596:2x 2x 149

398:2x 199

114:2x 3x 19

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

2x 2x 19 = 76

Therefore, the value for common factors is 76.

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 = 15927568368/(1x76)

LCM = 15927568368/76

LCM = 209573268

Thus, we can understand that the LCM of 589,596,398,114 is 209573268.

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

• LCM of 364, 842, 200, 267
• LCM of 393, 707, 402, 922
• LCM of 821, 231, 882, 766
• LCM of 832, 843, 458, 444
• LCM of 940, 977, 200, 550

1. What is the LCM of 589, 596, 398, 114?

Answer: LCM of 589, 596, 398, 114 is 209573268.

2. How to calculate the LCM of 589, 596, 398, 114?

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, 596, 398, 114.

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}.