Given numbers are 514,214,590,182

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

The LCM of 514,214,590,182 is 1476421310.

Find LCM of 514,214,590,182 with Prime Factorization

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

2 x 257 x 107 x 295 x 91 = 1476421310

Therefore, the lowest common multiple of 514,214,590,182 is 1476421310.

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.

514 x 214 x 590 x 182 = 11811370480

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.

514 : 1, 2, 257, 514

214 : 1, 2, 107, 214

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,214,590,182, is 2.

Now, the common factors can be found like this.

514:2x 257

214:2x 107

590:2x 5x 59

182:2x 7x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11811370480/(2x4)

LCM = 11811370480/8

LCM = 1476421310

Thus, we can understand that the LCM of 514,214,590,182 is 1476421310.

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

• LCM of 225, 515, 429, 995
• LCM of 442, 236, 152, 415
• LCM of 680, 784, 291, 575
• LCM of 391, 764, 760, 994
• LCM of 793, 858, 858, 735

1. What is the LCM of 514, 214, 590, 182?

Answer: LCM of 514, 214, 590, 182 is 1476421310.

2. How to calculate the LCM of 514, 214, 590, 182?

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 514, 214, 590, 182.

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}.