Given numbers are 355,461,426,509

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

The LCM of 355,461,426,509 is 499802370.

Find LCM of 355,461,426,509 with Prime Factorization

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

71 x 5 x 461 x 6 x 509 = 499802370

Therefore, the lowest common multiple of 355,461,426,509 is 499802370.

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.

355 x 461 x 426 x 509 = 35485968270

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.

355 : 1, 5, 71, 355

461 : 1, 461

426 : 1, 2, 3, 6, 71, 142, 213, 426

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,461,426,509, is 1.

Now, the common factors can be found like this.

355:5x 71

461:461

426:2x 3x 71

509:509

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

71 = 71

Therefore, the value for common factors is 71.

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 = 35485968270/(1x71)

LCM = 35485968270/71

LCM = 499802370

Thus, we can understand that the LCM of 355,461,426,509 is 499802370.

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

• LCM of 315, 508, 518, 181
• LCM of 878, 637, 284, 288
• LCM of 620, 145, 710, 711
• LCM of 298, 111, 994, 404
• LCM of 207, 525, 933, 910

1. What is the LCM of 355, 461, 426, 509?

Answer: LCM of 355, 461, 426, 509 is 499802370.

2. How to calculate the LCM of 355, 461, 426, 509?

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 355, 461, 426, 509.

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}.