Given numbers are 298,677,484,240,214

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

The LCM of 298,677,484,240,214 is 313440655440.

Find LCM of 298,677,484,240,214 with Prime Factorization

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

2 x 2 x 149 x 677 x 121 x 60 x 107 = 313440655440

Therefore, the lowest common multiple of 298,677,484,240,214 is 313440655440.

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.

298 x 677 x 484 x 240 x 214 = 5015050487040

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.

298 : 1, 2, 149, 298

677 : 1, 677

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

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,677,484,240,214, is 1.

Now, the common factors can be found like this.

298:2x 149

677:677

484:2x 2x 11x 11

240:2x 2x 2x 2x 3x 5

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 5015050487040/(1x16)

LCM = 5015050487040/16

LCM = 313440655440

Thus, we can understand that the LCM of 298,677,484,240,214 is 313440655440.

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

• LCM of 517, 704, 523, 933, 273
• LCM of 197, 416, 146, 232, 200
• LCM of 647, 642, 250, 490, 595
• LCM of 369, 790, 996, 263, 387
• LCM of 238, 881, 713, 776, 612

1. What is the LCM of 298, 677, 484, 240, 214?

Answer: LCM of 298, 677, 484, 240, 214 is 313440655440.

2. How to calculate the LCM of 298, 677, 484, 240, 214?

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 298, 677, 484, 240, 214.

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}.