Given numbers are 514,386,107,707,684

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

The LCM of 514,386,107,707,684 is 2566549977516.

Find LCM of 514,386,107,707,684 with Prime Factorization

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

2 x 257 x 193 x 107 x 707 x 342 = 2566549977516

Therefore, the lowest common multiple of 514,386,107,707,684 is 2566549977516.

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 386 x 107 x 707 x 684 = 10266199910064

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

386 : 1, 2, 193, 386

107 : 1, 107

707 : 1, 7, 101, 707

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,386,107,707,684, is 1.

Now, the common factors can be found like this.

514:2x 257

386:2x 193

107:107

707:7x 101

684:2x 2x 3x 3x 19

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 = 10266199910064/(1x4)

LCM = 10266199910064/4

LCM = 2566549977516

Thus, we can understand that the LCM of 514,386,107,707,684 is 2566549977516.

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

• LCM of 468, 900, 708, 484, 908
• LCM of 845, 124, 707, 913, 172
• LCM of 132, 106, 613, 981, 551
• LCM of 349, 348, 501, 436, 195
• LCM of 480, 458, 127, 112, 721

1. What is the LCM of 514, 386, 107, 707, 684?

Answer: LCM of 514, 386, 107, 707, 684 is 2566549977516.

2. How to calculate the LCM of 514, 386, 107, 707, 684?

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, 386, 107, 707, 684.

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}.