Given numbers are 314,508,402,814

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

The LCM of 314,508,402,814 is 6524599092.

Find LCM of 314,508,402,814 with Prime Factorization

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

2 x 157 x 254 x 201 x 407 = 6524599092

Therefore, the lowest common multiple of 314,508,402,814 is 6524599092.

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.

314 x 508 x 402 x 814 = 52196792736

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.

314 : 1, 2, 157, 314

508 : 1, 2, 4, 127, 254, 508

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,508,402,814, is 2.

Now, the common factors can be found like this.

314:2x 157

508:2x 2x 127

402:2x 3x 67

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 2 = 4

Therefore, the value for common factors is 4.

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 = 52196792736/(2x4)

LCM = 52196792736/8

LCM = 6524599092

Thus, we can understand that the LCM of 314,508,402,814 is 6524599092.

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

• LCM of 683, 859, 968, 947
• LCM of 229, 124, 271, 543
• LCM of 370, 828, 102, 832
• LCM of 127, 481, 536, 240
• LCM of 307, 457, 298, 234

1. What is the LCM of 314, 508, 402, 814?

Answer: LCM of 314, 508, 402, 814 is 6524599092.

2. How to calculate the LCM of 314, 508, 402, 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 314, 508, 402, 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}.