Given numbers are 791,507,161,224

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

The LCM of 791,507,161,224 is 295163232.

Find LCM of 791,507,161,224 with Prime Factorization

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

7 x 113 x 507 x 23 x 32 = 295163232

Therefore, the lowest common multiple of 791,507,161,224 is 295163232.

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 507 x 161 x 224 = 14462998368

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

507 : 1, 3, 13, 39, 169, 507

161 : 1, 7, 23, 161

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,507,161,224, is 1.

Now, the common factors can be found like this.

791:7x 113

507:3x 13x 13

161:7x 23

224:2x 2x 2x 2x 2x 7

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

7x 7 = 49

Therefore, the value for common factors is 49.

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 = 14462998368/(1x49)

LCM = 14462998368/49

LCM = 295163232

Thus, we can understand that the LCM of 791,507,161,224 is 295163232.

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

• LCM of 527, 938, 344, 380
• LCM of 441, 501, 466, 402
• LCM of 431, 591, 120, 710
• LCM of 550, 800, 443, 687
• LCM of 259, 363, 938, 729

1. What is the LCM of 791, 507, 161, 224?

Answer: LCM of 791, 507, 161, 224 is 295163232.

2. How to calculate the LCM of 791, 507, 161, 224?

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, 507, 161, 224.

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}.