Given numbers are 214,736,590,491,940

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

The LCM of 214,736,590,491,940 is 536121171680.

Find LCM of 214,736,590,491,940 with Prime Factorization

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

2 x 2 x 5 x 107 x 184 x 59 x 491 x 47 = 536121171680

Therefore, the lowest common multiple of 214,736,590,491,940 is 536121171680.

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.

214 x 736 x 590 x 491 x 940 = 42889693734400

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.

214 : 1, 2, 107, 214

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

590 : 1, 2, 5, 10, 59, 118, 295, 590

491 : 1, 491

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,736,590,491,940, is 1.

Now, the common factors can be found like this.

214:2x 107

736:2x 2x 2x 2x 2x 23

590:2x 5x 59

491:491

940:2x 2x 5x 47

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 5 = 80

Therefore, the value for common factors is 80.

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 = 42889693734400/(1x80)

LCM = 42889693734400/80

LCM = 536121171680

Thus, we can understand that the LCM of 214,736,590,491,940 is 536121171680.

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

• LCM of 965, 932, 695, 126, 296
• LCM of 495, 710, 442, 140, 667
• LCM of 499, 990, 293, 564, 466
• LCM of 358, 527, 810, 761, 410
• LCM of 199, 938, 270, 820, 318

1. What is the LCM of 214, 736, 590, 491, 940?

Answer: LCM of 214, 736, 590, 491, 940 is 536121171680.

2. How to calculate the LCM of 214, 736, 590, 491, 940?

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 214, 736, 590, 491, 940.

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}.