Given numbers are 460,274,433,398

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

The LCM of 460,274,433,398 is 5430244340.

Find LCM of 460,274,433,398 with Prime Factorization

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

2 x 230 x 137 x 433 x 199 = 5430244340

Therefore, the lowest common multiple of 460,274,433,398 is 5430244340.

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 274 x 433 x 398 = 21720977360

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

274 : 1, 2, 137, 274

433 : 1, 433

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,274,433,398, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

274:2x 137

433:433

398:2x 199

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 = 21720977360/(1x4)

LCM = 21720977360/4

LCM = 5430244340

Thus, we can understand that the LCM of 460,274,433,398 is 5430244340.

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

• LCM of 245, 621, 318, 783
• LCM of 370, 521, 459, 717
• LCM of 944, 540, 713, 969
• LCM of 453, 818, 658, 154
• LCM of 487, 105, 100, 525

1. What is the LCM of 460, 274, 433, 398?

Answer: LCM of 460, 274, 433, 398 is 5430244340.

2. How to calculate the LCM of 460, 274, 433, 398?

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, 274, 433, 398.

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}.