Given numbers are 379,642,312,406,226

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

The LCM of 379,642,312,406,226 is 290236523304.

Find LCM of 379,642,312,406,226 with Prime Factorization

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

2 x 3 x 379 x 107 x 52 x 203 x 113 = 290236523304

Therefore, the lowest common multiple of 379,642,312,406,226 is 290236523304.

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.

379 x 642 x 312 x 406 x 226 = 6965676559296

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.

379 : 1, 379

642 : 1, 2, 3, 6, 107, 214, 321, 642

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

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

226 : 1, 2, 113, 226

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,642,312,406,226, is 1.

Now, the common factors can be found like this.

379:379

642:2x 3x 107

312:2x 2x 2x 3x 13

406:2x 7x 29

226:2x 113

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 3 = 24

Therefore, the value for common factors is 24.

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 = 6965676559296/(1x24)

LCM = 6965676559296/24

LCM = 290236523304

Thus, we can understand that the LCM of 379,642,312,406,226 is 290236523304.

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

• LCM of 147, 490, 223, 325, 162
• LCM of 437, 676, 940, 796, 426
• LCM of 680, 215, 109, 749, 836
• LCM of 327, 345, 101, 249, 725
• LCM of 625, 798, 625, 118, 411

1. What is the LCM of 379, 642, 312, 406, 226?

Answer: LCM of 379, 642, 312, 406, 226 is 290236523304.

2. How to calculate the LCM of 379, 642, 312, 406, 226?

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 379, 642, 312, 406, 226.

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}.