Given numbers are 506,627,816,667,702

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

The LCM of 506,627,816,667,702 is 13309083216.

Find LCM of 506,627,816,667,702 with Prime Factorization

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

2 x 3 x 11 x 23 x 1 x 19 x 136 x 29 x 117 = 13309083216

Therefore, the lowest common multiple of 506,627,816,667,702 is 13309083216.

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 627 x 816 x 667 x 702 = 121219129931328

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

627 : 1, 3, 11, 19, 33, 57, 209, 627

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

667 : 1, 23, 29, 667

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,627,816,667,702, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

627:3x 11x 19

816:2x 2x 2x 2x 3x 17

667:23x 29

702:2x 3x 3x 3x 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 2x 3x 3x 11x 23 = 9108

Therefore, the value for common factors is 9108.

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 = 121219129931328/(1x9108)

LCM = 121219129931328/9108

LCM = 13309083216

Thus, we can understand that the LCM of 506,627,816,667,702 is 13309083216.

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

• LCM of 446, 405, 333, 675, 640
• LCM of 887, 267, 648, 697, 109
• LCM of 459, 502, 843, 931, 831
• LCM of 141, 949, 263, 662, 996
• LCM of 486, 666, 928, 804, 564

1. What is the LCM of 506, 627, 816, 667, 702?

Answer: LCM of 506, 627, 816, 667, 702 is 13309083216.

2. How to calculate the LCM of 506, 627, 816, 667, 702?

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, 627, 816, 667, 702.

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}.