Given numbers are 352,660,210,578

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

The LCM of 352,660,210,578 is 10681440.

Find LCM of 352,660,210,578 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 8 x 1 x 7 x 289 = 10681440

Therefore, the lowest common multiple of 352,660,210,578 is 10681440.

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.

352 x 660 x 210 x 578 = 28199001600

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,660,210,578, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

660:2x 2x 3x 5x 11

210:2x 3x 5x 7

578:2x 17x 17

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 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 28199001600/(2x1320)

LCM = 28199001600/2640

LCM = 10681440

Thus, we can understand that the LCM of 352,660,210,578 is 10681440.

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

• LCM of 711, 179, 148, 711
• LCM of 398, 201, 316, 106
• LCM of 616, 305, 436, 697
• LCM of 243, 428, 765, 592
• LCM of 461, 957, 383, 712

1. What is the LCM of 352, 660, 210, 578?

Answer: LCM of 352, 660, 210, 578 is 10681440.

2. How to calculate the LCM of 352, 660, 210, 578?

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 352, 660, 210, 578.

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}.