Given numbers are 306,169,432,582,426

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

The LCM of 306,169,432,582,426 is 8547703632.

Find LCM of 306,169,432,582,426 with Prime Factorization

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

2 x 3 x 3 x 17 x 169 x 24 x 97 x 71 = 8547703632

Therefore, the lowest common multiple of 306,169,432,582,426 is 8547703632.

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.

306 x 169 x 432 x 582 x 426 = 5538911953536

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.

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

169 : 1, 13, 169

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

582 : 1, 2, 3, 6, 97, 194, 291, 582

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,169,432,582,426, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

169:13x 13

432:2x 2x 2x 2x 3x 3x 3

582:2x 3x 97

426:2x 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 2x 2x 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 5538911953536/(1x648)

LCM = 5538911953536/648

LCM = 8547703632

Thus, we can understand that the LCM of 306,169,432,582,426 is 8547703632.

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

• LCM of 871, 394, 584, 734, 316
• LCM of 293, 760, 392, 565, 656
• LCM of 914, 329, 382, 587, 500
• LCM of 619, 107, 613, 438, 904
• LCM of 802, 515, 951, 157, 990

1. What is the LCM of 306, 169, 432, 582, 426?

Answer: LCM of 306, 169, 432, 582, 426 is 8547703632.

2. How to calculate the LCM of 306, 169, 432, 582, 426?

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 306, 169, 432, 582, 426.

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}.