Given numbers are 683,234,208,214,590

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

The LCM of 683,234,208,214,590 is 40358251440.

Find LCM of 683,234,208,214,590 with Prime Factorization

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

2 x 13 x 683 x 9 x 8 x 107 x 295 = 40358251440

Therefore, the lowest common multiple of 683,234,208,214,590 is 40358251440.

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.

683 x 234 x 208 x 214 x 590 = 4197258149760

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.

683 : 1, 683

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

214 : 1, 2, 107, 214

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 683,234,208,214,590, is 1.

Now, the common factors can be found like this.

683:683

234:2x 3x 3x 13

208:2x 2x 2x 2x 13

214:2x 107

590:2x 5x 59

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 13 = 104

Therefore, the value for common factors is 104.

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 = 4197258149760/(1x104)

LCM = 4197258149760/104

LCM = 40358251440

Thus, we can understand that the LCM of 683,234,208,214,590 is 40358251440.

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

• LCM of 539, 686, 178, 464, 719
• LCM of 830, 516, 130, 488, 991
• LCM of 482, 389, 316, 839, 487
• LCM of 782, 699, 553, 203, 467
• LCM of 711, 989, 653, 713, 668

1. What is the LCM of 683, 234, 208, 214, 590?

Answer: LCM of 683, 234, 208, 214, 590 is 40358251440.

2. How to calculate the LCM of 683, 234, 208, 214, 590?

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 683, 234, 208, 214, 590.

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}.