Given numbers are 766,471,168,702,723

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

The LCM of 766,471,168,702,723 is 284846319576.

Find LCM of 766,471,168,702,723 with Prime Factorization

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

2 x 3 x 383 x 157 x 28 x 117 x 241 = 284846319576

Therefore, the lowest common multiple of 766,471,168,702,723 is 284846319576.

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.

766 x 471 x 168 x 702 x 723 = 30763402514208

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.

766 : 1, 2, 383, 766

471 : 1, 3, 157, 471

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,471,168,702,723, is 1.

Now, the common factors can be found like this.

766:2x 383

471:3x 157

168:2x 2x 2x 3x 7

702:2x 3x 3x 3x 13

723:3x 241

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 3 = 108

Therefore, the value for common factors is 108.

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 = 30763402514208/(1x108)

LCM = 30763402514208/108

LCM = 284846319576

Thus, we can understand that the LCM of 766,471,168,702,723 is 284846319576.

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

• LCM of 537, 718, 914, 575, 323
• LCM of 328, 927, 934, 823, 401
• LCM of 515, 882, 200, 647, 523
• LCM of 980, 737, 238, 647, 425
• LCM of 108, 634, 315, 738, 473

1. What is the LCM of 766, 471, 168, 702, 723?

Answer: LCM of 766, 471, 168, 702, 723 is 284846319576.

2. How to calculate the LCM of 766, 471, 168, 702, 723?

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 766, 471, 168, 702, 723.

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}.