Given numbers are 791,614,214,294

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

The LCM of 791,614,214,294 is 1091309478.

Find LCM of 791,614,214,294 with Prime Factorization

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

2 x 7 x 113 x 307 x 107 x 21 = 1091309478

Therefore, the lowest common multiple of 791,614,214,294 is 1091309478.

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 614 x 214 x 294 = 30556665384

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

614 : 1, 2, 307, 614

214 : 1, 2, 107, 214

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,614,214,294, is 1.

Now, the common factors can be found like this.

791:7x 113

614:2x 307

214:2x 107

294:2x 3x 7x 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 7 = 28

Therefore, the value for common factors is 28.

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 = 30556665384/(1x28)

LCM = 30556665384/28

LCM = 1091309478

Thus, we can understand that the LCM of 791,614,214,294 is 1091309478.

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

• LCM of 389, 344, 828, 133
• LCM of 909, 699, 921, 667
• LCM of 991, 719, 502, 870
• LCM of 685, 676, 112, 100
• LCM of 899, 666, 400, 508

1. What is the LCM of 791, 614, 214, 294?

Answer: LCM of 791, 614, 214, 294 is 1091309478.

2. How to calculate the LCM of 791, 614, 214, 294?

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, 614, 214, 294.

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}.