Given numbers are 404,748,340,493

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

The LCM of 404,748,340,493 is 10954460.

Find LCM of 404,748,340,493 with Prime Factorization

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

2 x 2 x 17 x 101 x 11 x 5 x 29 = 10954460

Therefore, the lowest common multiple of 404,748,340,493 is 10954460.

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.

404 x 748 x 340 x 493 = 50653423040

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.

404 : 1, 2, 4, 101, 202, 404

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 404,748,340,493, is 1.

Now, the common factors can be found like this.

404:2x 2x 101

748:2x 2x 11x 17

340:2x 2x 5x 17

493:17x 29

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 2x 17x 17 = 4624

Therefore, the value for common factors is 4624.

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 = 50653423040/(1x4624)

LCM = 50653423040/4624

LCM = 10954460

Thus, we can understand that the LCM of 404,748,340,493 is 10954460.

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

• LCM of 949, 426, 930, 564
• LCM of 916, 403, 867, 672
• LCM of 245, 116, 965, 442
• LCM of 868, 320, 385, 243
• LCM of 357, 368, 886, 574

1. What is the LCM of 404, 748, 340, 493?

Answer: LCM of 404, 748, 340, 493 is 10954460.

2. How to calculate the LCM of 404, 748, 340, 493?

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 404, 748, 340, 493.

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}.