Given numbers are 791,504,749,916

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

The LCM of 791,504,749,916 is 1395494856.

Find LCM of 791,504,749,916 with Prime Factorization

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

2 x 2 x 7 x 113 x 18 x 107 x 229 = 1395494856

Therefore, the lowest common multiple of 791,504,749,916 is 1395494856.

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 504 x 749 x 916 = 273516991776

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

749 : 1, 7, 107, 749

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,504,749,916, is 1.

Now, the common factors can be found like this.

791:7x 113

504:2x 2x 2x 3x 3x 7

749:7x 107

916:2x 2x 229

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 273516991776/(1x196)

LCM = 273516991776/196

LCM = 1395494856

Thus, we can understand that the LCM of 791,504,749,916 is 1395494856.

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

• LCM of 300, 662, 627, 517
• LCM of 970, 964, 773, 594
• LCM of 654, 468, 835, 733
• LCM of 749, 774, 451, 100
• LCM of 714, 493, 354, 264

1. What is the LCM of 791, 504, 749, 916?

Answer: LCM of 791, 504, 749, 916 is 1395494856.

2. How to calculate the LCM of 791, 504, 749, 916?

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, 504, 749, 916.

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}.