Given numbers are 461,416,391,655,221

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

The LCM of 461,416,391,655,221 is 49114792480.

Find LCM of 461,416,391,655,221 with Prime Factorization

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

13 x 17 x 461 x 32 x 23 x 655 x 1 = 49114792480

Therefore, the lowest common multiple of 461,416,391,655,221 is 49114792480.

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.

461 x 416 x 391 x 655 x 221 = 10854369138080

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.

461 : 1, 461

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

391 : 1, 17, 23, 391

655 : 1, 5, 131, 655

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,416,391,655,221, is 1.

Now, the common factors can be found like this.

461:461

416:2x 2x 2x 2x 2x 13

391:17x 23

655:5x 131

221:13x 17

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 10854369138080/(1x221)

LCM = 10854369138080/221

LCM = 49114792480

Thus, we can understand that the LCM of 461,416,391,655,221 is 49114792480.

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

• LCM of 780, 582, 997, 349, 841
• LCM of 733, 404, 300, 505, 514
• LCM of 188, 541, 562, 713, 195
• LCM of 568, 943, 248, 594, 376
• LCM of 495, 738, 251, 974, 237

1. What is the LCM of 461, 416, 391, 655, 221?

Answer: LCM of 461, 416, 391, 655, 221 is 49114792480.

2. How to calculate the LCM of 461, 416, 391, 655, 221?

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 461, 416, 391, 655, 221.

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}.