Given numbers are 491,475,422,380,828

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

The LCM of 491,475,422,380,828 is 40746273300.

Find LCM of 491,475,422,380,828 with Prime Factorization

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

2 x 2 x 5 x 19 x 491 x 1 x 211 x 5 x 207 = 40746273300

Therefore, the lowest common multiple of 491,475,422,380,828 is 40746273300.

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.

491 x 475 x 422 x 380 x 828 = 30967167708000

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.

491 : 1, 491

475 : 1, 5, 19, 25, 95, 475

422 : 1, 2, 211, 422

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,475,422,380,828, is 1.

Now, the common factors can be found like this.

491:491

475:5x 5x 19

422:2x 211

380:2x 2x 5x 19

828:2x 2x 3x 3x 23

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

2x 2x 2x 5x 19 = 760

Therefore, the value for common factors is 760.

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 = 30967167708000/(1x760)

LCM = 30967167708000/760

LCM = 40746273300

Thus, we can understand that the LCM of 491,475,422,380,828 is 40746273300.

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

• LCM of 978, 686, 439, 470, 326
• LCM of 154, 242, 482, 808, 861
• LCM of 836, 500, 488, 867, 616
• LCM of 416, 884, 883, 980, 289
• LCM of 190, 979, 579, 637, 673

1. What is the LCM of 491, 475, 422, 380, 828?

Answer: LCM of 491, 475, 422, 380, 828 is 40746273300.

2. How to calculate the LCM of 491, 475, 422, 380, 828?

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 491, 475, 422, 380, 828.

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}.