Given numbers are 561,406,121,440,355

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

The LCM of 561,406,121,440,355 is 3557704920.

Find LCM of 561,406,121,440,355 with Prime Factorization

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

2 x 5 x 11 x 51 x 203 x 11 x 4 x 71 = 3557704920

Therefore, the lowest common multiple of 561,406,121,440,355 is 3557704920.

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.

561 x 406 x 121 x 440 x 355 = 4304822953200

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

406 : 1, 2, 7, 14, 29, 58, 203, 406

121 : 1, 11, 121

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,406,121,440,355, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

406:2x 7x 29

121:11x 11

440:2x 2x 2x 5x 11

355:5x 71

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

2x 5x 11x 11 = 1210

Therefore, the value for common factors is 1210.

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 = 4304822953200/(1x1210)

LCM = 4304822953200/1210

LCM = 3557704920

Thus, we can understand that the LCM of 561,406,121,440,355 is 3557704920.

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

• LCM of 251, 842, 926, 663, 369
• LCM of 212, 776, 518, 418, 101
• LCM of 220, 809, 609, 509, 547
• LCM of 633, 850, 270, 461, 167
• LCM of 627, 305, 393, 798, 536

1. What is the LCM of 561, 406, 121, 440, 355?

Answer: LCM of 561, 406, 121, 440, 355 is 3557704920.

2. How to calculate the LCM of 561, 406, 121, 440, 355?

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 561, 406, 121, 440, 355.

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}.