Given numbers are 310,803,946,398,402

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

The LCM of 310,803,946,398,402 is 428148896010.

Find LCM of 310,803,946,398,402 with Prime Factorization

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

2 x 11 x 155 x 73 x 43 x 199 x 201 = 428148896010

Therefore, the lowest common multiple of 310,803,946,398,402 is 428148896010.

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.

310 x 803 x 946 x 398 x 402 = 37677102848880

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

803 : 1, 11, 73, 803

946 : 1, 2, 11, 22, 43, 86, 473, 946

398 : 1, 2, 199, 398

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,803,946,398,402, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

803:11x 73

946:2x 11x 43

398:2x 199

402:2x 3x 67

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 11 = 88

Therefore, the value for common factors is 88.

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 = 37677102848880/(1x88)

LCM = 37677102848880/88

LCM = 428148896010

Thus, we can understand that the LCM of 310,803,946,398,402 is 428148896010.

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

• LCM of 950, 137, 526, 490, 126
• LCM of 619, 243, 387, 198, 505
• LCM of 989, 991, 457, 519, 131
• LCM of 462, 387, 280, 805, 796
• LCM of 954, 288, 391, 812, 639

1. What is the LCM of 310, 803, 946, 398, 402?

Answer: LCM of 310, 803, 946, 398, 402 is 428148896010.

2. How to calculate the LCM of 310, 803, 946, 398, 402?

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 310, 803, 946, 398, 402.

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}.