Given numbers are 299,840,605,814

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

The LCM of 299,840,605,814 is 1124443320.

Find LCM of 299,840,605,814 with Prime Factorization

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

2 x 5 x 11 x 299 x 84 x 11 x 37 = 1124443320

Therefore, the lowest common multiple of 299,840,605,814 is 1124443320.

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.

299 x 840 x 605 x 814 = 123688765200

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.

299 : 1, 13, 23, 299

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

605 : 1, 5, 11, 55, 121, 605

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,840,605,814, is 1.

Now, the common factors can be found like this.

299:13x 23

840:2x 2x 2x 3x 5x 7

605:5x 11x 11

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 123688765200/(1x110)

LCM = 123688765200/110

LCM = 1124443320

Thus, we can understand that the LCM of 299,840,605,814 is 1124443320.

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

• LCM of 786, 818, 985, 192
• LCM of 117, 984, 760, 927
• LCM of 834, 969, 909, 870
• LCM of 755, 414, 223, 846
• LCM of 137, 729, 359, 263

1. What is the LCM of 299, 840, 605, 814?

Answer: LCM of 299, 840, 605, 814 is 1124443320.

2. How to calculate the LCM of 299, 840, 605, 814?

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 299, 840, 605, 814.

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}.