Given numbers are 402,306,496,474,310

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

The LCM of 402,306,496,474,310 is 2008375920.

Find LCM of 402,306,496,474,310 with Prime Factorization

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

2 x 3 x 31 x 67 x 51 x 8 x 79 x 5 = 2008375920

Therefore, the lowest common multiple of 402,306,496,474,310 is 2008375920.

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.

402 x 306 x 496 x 474 x 310 = 8965390106880

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.

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

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,306,496,474,310, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

306:2x 3x 3x 17

496:2x 2x 2x 2x 31

474:2x 3x 79

310:2x 5x 31

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 3x 3x 31 = 2232

Therefore, the value for common factors is 2232.

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 = 8965390106880/(2x2232)

LCM = 8965390106880/4464

LCM = 2008375920

Thus, we can understand that the LCM of 402,306,496,474,310 is 2008375920.

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

• LCM of 374, 664, 313, 687, 868
• LCM of 784, 209, 719, 109, 981
• LCM of 713, 506, 615, 653, 519
• LCM of 324, 871, 140, 509, 843
• LCM of 730, 298, 275, 581, 710

1. What is the LCM of 402, 306, 496, 474, 310?

Answer: LCM of 402, 306, 496, 474, 310 is 2008375920.

2. How to calculate the LCM of 402, 306, 496, 474, 310?

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 402, 306, 496, 474, 310.

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}.