Given numbers are 696,220,442,208,412

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

The LCM of 696,220,442,208,412 is 1742735280.

Find LCM of 696,220,442,208,412 with Prime Factorization

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

2 x 2 x 2 x 13 x 87 x 55 x 17 x 2 x 103 = 1742735280

Therefore, the lowest common multiple of 696,220,442,208,412 is 1742735280.

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.

696 x 220 x 442 x 208 x 412 = 5799823011840

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

412 : 1, 2, 4, 103, 206, 412

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,220,442,208,412, is 2.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

220:2x 2x 5x 11

442:2x 13x 17

208:2x 2x 2x 2x 13

412:2x 2x 103

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 2x 2x 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 5799823011840/(2x1664)

LCM = 5799823011840/3328

LCM = 1742735280

Thus, we can understand that the LCM of 696,220,442,208,412 is 1742735280.

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

• LCM of 113, 377, 241, 602, 833
• LCM of 304, 181, 480, 420, 220
• LCM of 501, 928, 527, 566, 814
• LCM of 145, 296, 540, 587, 258
• LCM of 696, 674, 281, 799, 548

1. What is the LCM of 696, 220, 442, 208, 412?

Answer: LCM of 696, 220, 442, 208, 412 is 1742735280.

2. How to calculate the LCM of 696, 220, 442, 208, 412?

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 696, 220, 442, 208, 412.

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}.