Given numbers are 506,876,696,667,514

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

The LCM of 506,876,696,667,514 is 3303586968.

Find LCM of 506,876,696,667,514 with Prime Factorization

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

2 x 2 x 3 x 23 x 29 x 11 x 73 x 2 x 1 x 257 = 3303586968

Therefore, the lowest common multiple of 506,876,696,667,514 is 3303586968.

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.

506 x 876 x 696 x 667 x 514 = 105767640367488

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

667 : 1, 23, 29, 667

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,876,696,667,514, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

876:2x 2x 3x 73

696:2x 2x 2x 3x 29

667:23x 29

514:2x 257

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 2x 2x 3x 23x 29 = 32016

Therefore, the value for common factors is 32016.

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 = 105767640367488/(1x32016)

LCM = 105767640367488/32016

LCM = 3303586968

Thus, we can understand that the LCM of 506,876,696,667,514 is 3303586968.

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

• LCM of 635, 453, 594, 446, 520
• LCM of 661, 555, 333, 653, 143
• LCM of 831, 464, 960, 715, 296
• LCM of 587, 480, 876, 319, 396
• LCM of 796, 967, 906, 781, 948

1. What is the LCM of 506, 876, 696, 667, 514?

Answer: LCM of 506, 876, 696, 667, 514 is 3303586968.

2. How to calculate the LCM of 506, 876, 696, 667, 514?

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 506, 876, 696, 667, 514.

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}.