Given numbers are 590,740,420,591,205

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

The LCM of 590,740,420,591,205 is 7405478220.

Find LCM of 590,740,420,591,205 with Prime Factorization

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

2 x 2 x 3 x 5 x 59 x 37 x 7 x 197 x 41 = 7405478220

Therefore, the lowest common multiple of 590,740,420,591,205 is 7405478220.

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.

590 x 740 x 420 x 591 x 205 = 22216434660000

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.

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

591 : 1, 3, 197, 591

205 : 1, 5, 41, 205

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,740,420,591,205, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

740:2x 2x 5x 37

420:2x 2x 3x 5x 7

591:3x 197

205:5x 41

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 5x 5x 5 = 3000

Therefore, the value for common factors is 3000.

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 = 22216434660000/(1x3000)

LCM = 22216434660000/3000

LCM = 7405478220

Thus, we can understand that the LCM of 590,740,420,591,205 is 7405478220.

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

• LCM of 299, 835, 628, 151, 996
• LCM of 793, 923, 778, 116, 581
• LCM of 538, 600, 254, 147, 472
• LCM of 762, 400, 137, 259, 712
• LCM of 404, 642, 673, 385, 515

1. What is the LCM of 590, 740, 420, 591, 205?

Answer: LCM of 590, 740, 420, 591, 205 is 7405478220.

2. How to calculate the LCM of 590, 740, 420, 591, 205?

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 590, 740, 420, 591, 205.

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}.