Given numbers are 356,190,199,206,417

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

The LCM of 356,190,199,206,417 is 289067961180.

Find LCM of 356,190,199,206,417 with Prime Factorization

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

2 x 178 x 95 x 199 x 103 x 417 = 289067961180

Therefore, the lowest common multiple of 356,190,199,206,417 is 289067961180.

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.

356 x 190 x 199 x 206 x 417 = 1156271844720

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.

356 : 1, 2, 4, 89, 178, 356

190 : 1, 2, 5, 10, 19, 38, 95, 190

199 : 1, 199

206 : 1, 2, 103, 206

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,190,199,206,417, is 1.

Now, the common factors can be found like this.

356:2x 2x 89

190:2x 5x 19

199:199

206:2x 103

417:3x 139

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1156271844720/(1x4)

LCM = 1156271844720/4

LCM = 289067961180

Thus, we can understand that the LCM of 356,190,199,206,417 is 289067961180.

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

• LCM of 101, 242, 281, 200, 958
• LCM of 533, 836, 558, 210, 402
• LCM of 889, 870, 684, 219, 403
• LCM of 238, 169, 807, 452, 775
• LCM of 163, 736, 548, 416, 844

1. What is the LCM of 356, 190, 199, 206, 417?

Answer: LCM of 356, 190, 199, 206, 417 is 289067961180.

2. How to calculate the LCM of 356, 190, 199, 206, 417?

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 356, 190, 199, 206, 417.

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}.