Given numbers are 180,458,298,461

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

The LCM of 180,458,298,461 is 2831360580.

Find LCM of 180,458,298,461 with Prime Factorization

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

2 x 90 x 229 x 149 x 461 = 2831360580

Therefore, the lowest common multiple of 180,458,298,461 is 2831360580.

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.

180 x 458 x 298 x 461 = 11325442320

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

458 : 1, 2, 229, 458

298 : 1, 2, 149, 298

461 : 1, 461

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,458,298,461, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

458:2x 229

298:2x 149

461:461

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 = 11325442320/(1x4)

LCM = 11325442320/4

LCM = 2831360580

Thus, we can understand that the LCM of 180,458,298,461 is 2831360580.

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

• LCM of 730, 146, 776, 943
• LCM of 970, 291, 895, 209
• LCM of 346, 990, 655, 642
• LCM of 389, 867, 257, 391
• LCM of 757, 317, 772, 438

1. What is the LCM of 180, 458, 298, 461?

Answer: LCM of 180, 458, 298, 461 is 2831360580.

2. How to calculate the LCM of 180, 458, 298, 461?

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 180, 458, 298, 461.

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}.