Given numbers are 106,419,354,642,272

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

The LCM of 106,419,354,642,272 is 114397317456.

Find LCM of 106,419,354,642,272 with Prime Factorization

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

2 x 3 x 53 x 419 x 59 x 107 x 136 = 114397317456

Therefore, the lowest common multiple of 106,419,354,642,272 is 114397317456.

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.

106 x 419 x 354 x 642 x 272 = 2745535618944

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.

106 : 1, 2, 53, 106

419 : 1, 419

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,419,354,642,272, is 1.

Now, the common factors can be found like this.

106:2x 53

419:419

354:2x 3x 59

642:2x 3x 107

272:2x 2x 2x 2x 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 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 = 2745535618944/(1x24)

LCM = 2745535618944/24

LCM = 114397317456

Thus, we can understand that the LCM of 106,419,354,642,272 is 114397317456.

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

• LCM of 567, 870, 569, 833, 430
• LCM of 524, 907, 279, 562, 154
• LCM of 972, 215, 788, 146, 636
• LCM of 247, 590, 479, 839, 583
• LCM of 778, 655, 119, 536, 540

1. What is the LCM of 106, 419, 354, 642, 272?

Answer: LCM of 106, 419, 354, 642, 272 is 114397317456.

2. How to calculate the LCM of 106, 419, 354, 642, 272?

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 106, 419, 354, 642, 272.

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}.