Given numbers are 460,449,415,391

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

The LCM of 460,449,415,391 is 291427940.

Find LCM of 460,449,415,391 with Prime Factorization

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

5 x 23 x 4 x 449 x 83 x 17 = 291427940

Therefore, the lowest common multiple of 460,449,415,391 is 291427940.

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 449 x 415 x 391 = 33514213100

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

449 : 1, 449

415 : 1, 5, 83, 415

391 : 1, 17, 23, 391

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,449,415,391, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

449:449

415:5x 83

391:17x 23

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

5x 23 = 115

Therefore, the value for common factors is 115.

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 = 33514213100/(1x115)

LCM = 33514213100/115

LCM = 291427940

Thus, we can understand that the LCM of 460,449,415,391 is 291427940.

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

• LCM of 990, 458, 802, 872
• LCM of 441, 606, 180, 575
• LCM of 967, 573, 229, 589
• LCM of 819, 146, 303, 193
• LCM of 440, 865, 584, 937

1. What is the LCM of 460, 449, 415, 391?

Answer: LCM of 460, 449, 415, 391 is 291427940.

2. How to calculate the LCM of 460, 449, 415, 391?

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, 449, 415, 391.

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}.