Given numbers are 350,225,741,800,410

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

The LCM of 350,225,741,800,410 is 510400800.

Find LCM of 350,225,741,800,410 with Prime Factorization

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

2 x 3 x 5 x 5 x 7 x 3 x 247 x 16 x 41 = 510400800

Therefore, the lowest common multiple of 350,225,741,800,410 is 510400800.

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.

350 x 225 x 741 x 800 x 410 = 19140030000000

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

741 : 1, 3, 13, 19, 39, 57, 247, 741

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

410 : 1, 2, 5, 10, 41, 82, 205, 410

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,225,741,800,410, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

225:3x 3x 5x 5

741:3x 13x 19

800:2x 2x 2x 2x 2x 5x 5

410:2x 5x 41

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 3x 5x 5x 5x 5x 5 = 37500

Therefore, the value for common factors is 37500.

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 = 19140030000000/(1x37500)

LCM = 19140030000000/37500

LCM = 510400800

Thus, we can understand that the LCM of 350,225,741,800,410 is 510400800.

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

• LCM of 199, 990, 991, 140, 436
• LCM of 735, 876, 299, 959, 646
• LCM of 779, 936, 225, 918, 328
• LCM of 736, 144, 469, 793, 493
• LCM of 746, 212, 683, 583, 548

1. What is the LCM of 350, 225, 741, 800, 410?

Answer: LCM of 350, 225, 741, 800, 410 is 510400800.

2. How to calculate the LCM of 350, 225, 741, 800, 410?

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 350, 225, 741, 800, 410.

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}.