Given numbers are 460,215,382,763

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

The LCM of 460,215,382,763 is 2882598740.

Find LCM of 460,215,382,763 with Prime Factorization

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

2 x 5 x 46 x 43 x 191 x 763 = 2882598740

Therefore, the lowest common multiple of 460,215,382,763 is 2882598740.

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 215 x 382 x 763 = 28825987400

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

215 : 1, 5, 43, 215

382 : 1, 2, 191, 382

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,215,382,763, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

215:5x 43

382:2x 191

763:7x 109

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 28825987400/(1x10)

LCM = 28825987400/10

LCM = 2882598740

Thus, we can understand that the LCM of 460,215,382,763 is 2882598740.

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

• LCM of 665, 180, 936, 800
• LCM of 228, 231, 411, 991
• LCM of 392, 862, 422, 186
• LCM of 516, 612, 615, 239
• LCM of 139, 120, 988, 870

1. What is the LCM of 460, 215, 382, 763?

Answer: LCM of 460, 215, 382, 763 is 2882598740.

2. How to calculate the LCM of 460, 215, 382, 763?

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, 215, 382, 763.

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}.