Given numbers are 214,749,590,339

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

The LCM of 214,749,590,339 is 149807490.

Find LCM of 214,749,590,339 with Prime Factorization

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

2 x 107 x 1 x 7 x 295 x 339 = 149807490

Therefore, the lowest common multiple of 214,749,590,339 is 149807490.

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.

214 x 749 x 590 x 339 = 32058802860

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.

214 : 1, 2, 107, 214

749 : 1, 7, 107, 749

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

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,749,590,339, is 1.

Now, the common factors can be found like this.

214:2x 107

749:7x 107

590:2x 5x 59

339:3x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 32058802860/(1x214)

LCM = 32058802860/214

LCM = 149807490

Thus, we can understand that the LCM of 214,749,590,339 is 149807490.

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

• LCM of 492, 489, 746, 870
• LCM of 367, 133, 331, 697
• LCM of 206, 332, 489, 382
• LCM of 467, 895, 351, 655
• LCM of 192, 451, 391, 311

1. What is the LCM of 214, 749, 590, 339?

Answer: LCM of 214, 749, 590, 339 is 149807490.

2. How to calculate the LCM of 214, 749, 590, 339?

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 214, 749, 590, 339.

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}.