Given numbers are 457,667,816,561,232

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

The LCM of 457,667,816,561,232 is 2736055344.

Find LCM of 457,667,816,561,232 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 29 x 457 x 23 x 2 x 11 x 1 = 2736055344

Therefore, the lowest common multiple of 457,667,816,561,232 is 2736055344.

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.

457 x 667 x 816 x 561 x 232 = 32373006830208

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.

457 : 1, 457

667 : 1, 23, 29, 667

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

561 : 1, 3, 11, 17, 33, 51, 187, 561

232 : 1, 2, 4, 8, 29, 58, 116, 232

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,667,816,561,232, is 1.

Now, the common factors can be found like this.

457:457

667:23x 29

816:2x 2x 2x 2x 3x 17

561:3x 11x 17

232:2x 2x 2x 29

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 3x 17x 29 = 11832

Therefore, the value for common factors is 11832.

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 = 32373006830208/(1x11832)

LCM = 32373006830208/11832

LCM = 2736055344

Thus, we can understand that the LCM of 457,667,816,561,232 is 2736055344.

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

• LCM of 947, 363, 472, 688, 388
• LCM of 797, 492, 266, 885, 920
• LCM of 154, 814, 265, 604, 999
• LCM of 806, 216, 131, 477, 913
• LCM of 801, 586, 845, 579, 644

1. What is the LCM of 457, 667, 816, 561, 232?

Answer: LCM of 457, 667, 816, 561, 232 is 2736055344.

2. How to calculate the LCM of 457, 667, 816, 561, 232?

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 457, 667, 816, 561, 232.

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}.