Given numbers are 338,112,569,206,306

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

The LCM of 338,112,569,206,306 is 169724934288.

Find LCM of 338,112,569,206,306 with Prime Factorization

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

2 x 169 x 56 x 569 x 103 x 153 = 169724934288

Therefore, the lowest common multiple of 338,112,569,206,306 is 169724934288.

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.

338 x 112 x 569 x 206 x 306 = 1357799474304

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.

338 : 1, 2, 13, 26, 169, 338

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

569 : 1, 569

206 : 1, 2, 103, 206

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,112,569,206,306, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

112:2x 2x 2x 2x 7

569:569

206:2x 103

306:2x 3x 3x 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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 1357799474304/(1x8)

LCM = 1357799474304/8

LCM = 169724934288

Thus, we can understand that the LCM of 338,112,569,206,306 is 169724934288.

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

• LCM of 856, 434, 411, 249, 193
• LCM of 446, 641, 244, 841, 868
• LCM of 208, 736, 791, 697, 709
• LCM of 696, 921, 881, 981, 127
• LCM of 519, 339, 180, 843, 927

1. What is the LCM of 338, 112, 569, 206, 306?

Answer: LCM of 338, 112, 569, 206, 306 is 169724934288.

2. How to calculate the LCM of 338, 112, 569, 206, 306?

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 338, 112, 569, 206, 306.

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}.