Given numbers are 571,312,471,988,728

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

The LCM of 571,312,471,988,728 is 3719991912.

Find LCM of 571,312,471,988,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 571 x 1 x 157 x 19 x 7 = 3719991912

Therefore, the lowest common multiple of 571,312,471,988,728 is 3719991912.

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.

571 x 312 x 471 x 988 x 728 = 60353148780288

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.

571 : 1, 571

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

471 : 1, 3, 157, 471

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,312,471,988,728, is 1.

Now, the common factors can be found like this.

571:571

312:2x 2x 2x 3x 13

471:3x 157

988:2x 2x 13x 19

728:2x 2x 2x 7x 13

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 2x 2x 3x 13x 13 = 16224

Therefore, the value for common factors is 16224.

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 = 60353148780288/(1x16224)

LCM = 60353148780288/16224

LCM = 3719991912

Thus, we can understand that the LCM of 571,312,471,988,728 is 3719991912.

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

• LCM of 641, 223, 508, 703, 856
• LCM of 268, 692, 921, 531, 537
• LCM of 853, 476, 754, 213, 973
• LCM of 731, 911, 359, 729, 286
• LCM of 540, 841, 822, 923, 870

1. What is the LCM of 571, 312, 471, 988, 728?

Answer: LCM of 571, 312, 471, 988, 728 is 3719991912.

2. How to calculate the LCM of 571, 312, 471, 988, 728?

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 571, 312, 471, 988, 728.

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}.