Given numbers are 742,463,194,416

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

The LCM of 742,463,194,416 is 6931384096.

Find LCM of 742,463,194,416 with Prime Factorization

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

2 x 371 x 463 x 97 x 208 = 6931384096

Therefore, the lowest common multiple of 742,463,194,416 is 6931384096.

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.

742 x 463 x 194 x 416 = 27725536384

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

463 : 1, 463

194 : 1, 2, 97, 194

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,463,194,416, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

463:463

194:2x 97

416:2x 2x 2x 2x 2x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 27725536384/(1x4)

LCM = 27725536384/4

LCM = 6931384096

Thus, we can understand that the LCM of 742,463,194,416 is 6931384096.

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

• LCM of 857, 784, 498, 273
• LCM of 720, 488, 661, 471
• LCM of 465, 724, 149, 860
• LCM of 648, 498, 693, 590
• LCM of 422, 280, 433, 396

1. What is the LCM of 742, 463, 194, 416?

Answer: LCM of 742, 463, 194, 416 is 6931384096.

2. How to calculate the LCM of 742, 463, 194, 416?

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 742, 463, 194, 416.

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}.