Given numbers are 791,924,614,371,280

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

The LCM of 791,924,614,371,280 is 16988876520.

Find LCM of 791,924,614,371,280 with Prime Factorization

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

2 x 2 x 7 x 113 x 33 x 307 x 53 x 10 = 16988876520

Therefore, the lowest common multiple of 791,924,614,371,280 is 16988876520.

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.

791 x 924 x 614 x 371 x 280 = 46617477170880

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.

791 : 1, 7, 113, 791

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

614 : 1, 2, 307, 614

371 : 1, 7, 53, 371

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,924,614,371,280, is 1.

Now, the common factors can be found like this.

791:7x 113

924:2x 2x 3x 7x 11

614:2x 307

371:7x 53

280:2x 2x 2x 5x 7

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 7x 7x 7 = 2744

Therefore, the value for common factors is 2744.

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 = 46617477170880/(1x2744)

LCM = 46617477170880/2744

LCM = 16988876520

Thus, we can understand that the LCM of 791,924,614,371,280 is 16988876520.

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

• LCM of 307, 272, 491, 597, 110
• LCM of 363, 105, 956, 893, 325
• LCM of 512, 227, 717, 523, 122
• LCM of 915, 106, 500, 997, 695
• LCM of 972, 968, 510, 941, 347

1. What is the LCM of 791, 924, 614, 371, 280?

Answer: LCM of 791, 924, 614, 371, 280 is 16988876520.

2. How to calculate the LCM of 791, 924, 614, 371, 280?

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 791, 924, 614, 371, 280.

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}.