Given numbers are 878,762,311,420,398

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

The LCM of 878,762,311,420,398 is 1449208915140.

Find LCM of 878,762,311,420,398 with Prime Factorization

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

2 x 3 x 439 x 127 x 311 x 70 x 199 = 1449208915140

Therefore, the lowest common multiple of 878,762,311,420,398 is 1449208915140.

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.

878 x 762 x 311 x 420 x 398 = 34781013963360

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.

878 : 1, 2, 439, 878

762 : 1, 2, 3, 6, 127, 254, 381, 762

311 : 1, 311

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 878,762,311,420,398, is 1.

Now, the common factors can be found like this.

878:2x 439

762:2x 3x 127

311:311

420:2x 2x 3x 5x 7

398:2x 199

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 3 = 24

Therefore, the value for common factors is 24.

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 = 34781013963360/(1x24)

LCM = 34781013963360/24

LCM = 1449208915140

Thus, we can understand that the LCM of 878,762,311,420,398 is 1449208915140.

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

• LCM of 863, 330, 882, 330, 926
• LCM of 873, 366, 666, 892, 768
• LCM of 262, 272, 667, 870, 641
• LCM of 453, 590, 745, 959, 661
• LCM of 871, 525, 830, 782, 581

1. What is the LCM of 878, 762, 311, 420, 398?

Answer: LCM of 878, 762, 311, 420, 398 is 1449208915140.

2. How to calculate the LCM of 878, 762, 311, 420, 398?

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 878, 762, 311, 420, 398.

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}.