Given numbers are 426,920,312,101,728

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

The LCM of 426,920,312,101,728 is 1801068360.

Find LCM of 426,920,312,101,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 71 x 115 x 1 x 101 x 7 = 1801068360

Therefore, the lowest common multiple of 426,920,312,101,728 is 1801068360.

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.

426 x 920 x 312 x 101 x 728 = 8990933253120

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

101 : 1, 101

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 426,920,312,101,728, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

920:2x 2x 2x 5x 23

312:2x 2x 2x 3x 13

101:101

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 2x 2x 3x 13 = 4992

Therefore, the value for common factors is 4992.

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 = 8990933253120/(1x4992)

LCM = 8990933253120/4992

LCM = 1801068360

Thus, we can understand that the LCM of 426,920,312,101,728 is 1801068360.

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

• LCM of 884, 168, 401, 467, 665
• LCM of 314, 144, 558, 205, 962
• LCM of 874, 847, 403, 310, 991
• LCM of 790, 208, 355, 397, 460
• LCM of 913, 865, 390, 663, 103

1. What is the LCM of 426, 920, 312, 101, 728?

Answer: LCM of 426, 920, 312, 101, 728 is 1801068360.

2. How to calculate the LCM of 426, 920, 312, 101, 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 426, 920, 312, 101, 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}.