Given numbers are 460,498,701,233

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

The LCM of 460,498,701,233 is 18708161820.

Find LCM of 460,498,701,233 with Prime Factorization

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

2 x 230 x 249 x 701 x 233 = 18708161820

Therefore, the lowest common multiple of 460,498,701,233 is 18708161820.

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.

460 x 498 x 701 x 233 = 37416323640

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

498 : 1, 2, 3, 6, 83, 166, 249, 498

701 : 1, 701

233 : 1, 233

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,498,701,233, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

498:2x 3x 83

701:701

233:233

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

2 = 2

Therefore, the value for common factors is 2.

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 = 37416323640/(1x2)

LCM = 37416323640/2

LCM = 18708161820

Thus, we can understand that the LCM of 460,498,701,233 is 18708161820.

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

• LCM of 817, 450, 668, 935
• LCM of 296, 545, 586, 724
• LCM of 128, 114, 680, 151
• LCM of 496, 354, 354, 945
• LCM of 724, 633, 404, 712

1. What is the LCM of 460, 498, 701, 233?

Answer: LCM of 460, 498, 701, 233 is 18708161820.

2. How to calculate the LCM of 460, 498, 701, 233?

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 460, 498, 701, 233.

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}.