Given numbers are 338,702,771,456,866

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

The LCM of 338,702,771,456,866 is 77181830856.

Find LCM of 338,702,771,456,866 with Prime Factorization

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

2 x 3 x 13 x 13 x 9 x 257 x 76 x 433 = 77181830856

Therefore, the lowest common multiple of 338,702,771,456,866 is 77181830856.

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.

338 x 702 x 771 x 456 x 866 = 72242193681216

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.

338 : 1, 2, 13, 26, 169, 338

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

771 : 1, 3, 257, 771

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

866 : 1, 2, 433, 866

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,702,771,456,866, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

702:2x 3x 3x 3x 13

771:3x 257

456:2x 2x 2x 3x 19

866:2x 433

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 72242193681216/(1x936)

LCM = 72242193681216/936

LCM = 77181830856

Thus, we can understand that the LCM of 338,702,771,456,866 is 77181830856.

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

• LCM of 610, 687, 751, 887, 895
• LCM of 756, 499, 659, 208, 721
• LCM of 691, 877, 315, 813, 830
• LCM of 387, 404, 501, 599, 267
• LCM of 642, 442, 573, 865, 997

1. What is the LCM of 338, 702, 771, 456, 866?

Answer: LCM of 338, 702, 771, 456, 866 is 77181830856.

2. How to calculate the LCM of 338, 702, 771, 456, 866?

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 338, 702, 771, 456, 866.

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}.