Given numbers are 590,214,278,540

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

The LCM of 590,214,278,540 is 473853780.

Find LCM of 590,214,278,540 with Prime Factorization

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

2 x 5 x 59 x 107 x 139 x 54 = 473853780

Therefore, the lowest common multiple of 590,214,278,540 is 473853780.

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 214 x 278 x 540 = 18954151200

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

214 : 1, 2, 107, 214

278 : 1, 2, 139, 278

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,214,278,540, is 2.

Now, the common factors can be found like this.

590:2x 5x 59

214:2x 107

278:2x 139

540:2x 2x 3x 3x 3x 5

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 5 = 20

Therefore, the value for common factors is 20.

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 = 18954151200/(2x20)

LCM = 18954151200/40

LCM = 473853780

Thus, we can understand that the LCM of 590,214,278,540 is 473853780.

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

• LCM of 481, 656, 948, 518
• LCM of 171, 584, 819, 973
• LCM of 316, 799, 816, 727
• LCM of 162, 481, 962, 101
• LCM of 229, 509, 533, 234

1. What is the LCM of 590, 214, 278, 540?

Answer: LCM of 590, 214, 278, 540 is 473853780.

2. How to calculate the LCM of 590, 214, 278, 540?

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, 214, 278, 540.

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}.