Given numbers are 346,398,484,509

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

The LCM of 346,398,484,509 is 8481298012.

Find LCM of 346,398,484,509 with Prime Factorization

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

2 x 173 x 199 x 242 x 509 = 8481298012

Therefore, the lowest common multiple of 346,398,484,509 is 8481298012.

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.

346 x 398 x 484 x 509 = 33925192048

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.

346 : 1, 2, 173, 346

398 : 1, 2, 199, 398

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,398,484,509, is 1.

Now, the common factors can be found like this.

346:2x 173

398:2x 199

484:2x 2x 11x 11

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.

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 = 33925192048/(1x4)

LCM = 33925192048/4

LCM = 8481298012

Thus, we can understand that the LCM of 346,398,484,509 is 8481298012.

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

• LCM of 475, 462, 857, 182
• LCM of 185, 880, 607, 669
• LCM of 347, 339, 247, 337
• LCM of 282, 462, 207, 169
• LCM of 455, 812, 869, 219

1. What is the LCM of 346, 398, 484, 509?

Answer: LCM of 346, 398, 484, 509 is 8481298012.

2. How to calculate the LCM of 346, 398, 484, 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 346, 398, 484, 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}.