Given numbers are 211,224,381,642,409

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

The LCM of 211,224,381,642,409 is 788065898592.

Find LCM of 211,224,381,642,409 with Prime Factorization

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

2 x 3 x 211 x 112 x 127 x 107 x 409 = 788065898592

Therefore, the lowest common multiple of 211,224,381,642,409 is 788065898592.

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.

211 x 224 x 381 x 642 x 409 = 4728395391552

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.

211 : 1, 211

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

381 : 1, 3, 127, 381

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

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,224,381,642,409, is 1.

Now, the common factors can be found like this.

211:211

224:2x 2x 2x 2x 2x 7

381:3x 127

642:2x 3x 107

409:409

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 4728395391552/(1x6)

LCM = 4728395391552/6

LCM = 788065898592

Thus, we can understand that the LCM of 211,224,381,642,409 is 788065898592.

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

• LCM of 897, 471, 929, 959, 804
• LCM of 862, 530, 631, 207, 471
• LCM of 892, 393, 326, 656, 802
• LCM of 676, 685, 584, 791, 509
• LCM of 994, 246, 289, 439, 830

1. What is the LCM of 211, 224, 381, 642, 409?

Answer: LCM of 211, 224, 381, 642, 409 is 788065898592.

2. How to calculate the LCM of 211, 224, 381, 642, 409?

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 211, 224, 381, 642, 409.

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}.