Given numbers are 830,646,193,408,224

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

The LCM of 830,646,193,408,224 is 17385100320.

Find LCM of 830,646,193,408,224 with Prime Factorization

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

2 x 2 x 2 x 17 x 415 x 19 x 193 x 3 x 28 = 17385100320

Therefore, the lowest common multiple of 830,646,193,408,224 is 17385100320.

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.

830 x 646 x 193 x 408 x 224 = 9457494574080

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

646 : 1, 2, 17, 19, 34, 38, 323, 646

193 : 1, 193

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,646,193,408,224, is 1.

Now, the common factors can be found like this.

830:2x 5x 83

646:2x 17x 19

193:193

408:2x 2x 2x 3x 17

224:2x 2x 2x 2x 2x 7

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 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 9457494574080/(1x544)

LCM = 9457494574080/544

LCM = 17385100320

Thus, we can understand that the LCM of 830,646,193,408,224 is 17385100320.

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

• LCM of 528, 627, 478, 484, 527
• LCM of 613, 552, 793, 759, 973
• LCM of 445, 214, 695, 391, 718
• LCM of 730, 300, 199, 580, 368
• LCM of 789, 761, 360, 947, 633

1. What is the LCM of 830, 646, 193, 408, 224?

Answer: LCM of 830, 646, 193, 408, 224 is 17385100320.

2. How to calculate the LCM of 830, 646, 193, 408, 224?

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 830, 646, 193, 408, 224.

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}.