Given numbers are 490,221,464,578,562

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

The LCM of 490,221,464,578,562 is 120013908560.

Find LCM of 490,221,464,578,562 with Prime Factorization

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

2 x 17 x 245 x 13 x 232 x 17 x 281 = 120013908560

Therefore, the lowest common multiple of 490,221,464,578,562 is 120013908560.

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.

490 x 221 x 464 x 578 x 562 = 16321891564160

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

221 : 1, 13, 17, 221

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

578 : 1, 2, 17, 34, 289, 578

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,221,464,578,562, is 1.

Now, the common factors can be found like this.

490:2x 5x 7x 7

221:13x 17

464:2x 2x 2x 2x 29

578:2x 17x 17

562:2x 281

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 17 = 136

Therefore, the value for common factors is 136.

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 = 16321891564160/(1x136)

LCM = 16321891564160/136

LCM = 120013908560

Thus, we can understand that the LCM of 490,221,464,578,562 is 120013908560.

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

• LCM of 112, 548, 598, 538, 262
• LCM of 258, 864, 663, 287, 870
• LCM of 914, 891, 510, 731, 529
• LCM of 707, 956, 599, 189, 303
• LCM of 988, 587, 340, 799, 274

1. What is the LCM of 490, 221, 464, 578, 562?

Answer: LCM of 490, 221, 464, 578, 562 is 120013908560.

2. How to calculate the LCM of 490, 221, 464, 578, 562?

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 490, 221, 464, 578, 562.

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}.