Given numbers are 514,710,414,686

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

The LCM of 514,710,414,686 is 12955552470.

Find LCM of 514,710,414,686 with Prime Factorization

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

2 x 257 x 355 x 207 x 343 = 12955552470

Therefore, the lowest common multiple of 514,710,414,686 is 12955552470.

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 710 x 414 x 686 = 103644419760

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

710 : 1, 2, 5, 10, 71, 142, 355, 710

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

686 : 1, 2, 7, 14, 49, 98, 343, 686

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,710,414,686, is 2.

Now, the common factors can be found like this.

514:2x 257

710:2x 5x 71

414:2x 3x 3x 23

686:2x 7x 7x 7

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 = 103644419760/(2x4)

LCM = 103644419760/8

LCM = 12955552470

Thus, we can understand that the LCM of 514,710,414,686 is 12955552470.

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

• LCM of 308, 113, 913, 123
• LCM of 301, 193, 709, 696
• LCM of 518, 216, 743, 375
• LCM of 926, 933, 546, 713
• LCM of 385, 558, 452, 237

1. What is the LCM of 514, 710, 414, 686?

Answer: LCM of 514, 710, 414, 686 is 12955552470.

2. How to calculate the LCM of 514, 710, 414, 686?

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, 710, 414, 686.

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}.