Given numbers are 969,884,226,728,810

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

The LCM of 969,884,226,728,810 is 10761365160.

Find LCM of 969,884,226,728,810 with Prime Factorization

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

2 x 2 x 3 x 13 x 17 x 19 x 1 x 113 x 14 x 135 = 10761365160

Therefore, the lowest common multiple of 969,884,226,728,810 is 10761365160.

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.

969 x 884 x 226 x 728 x 810 = 114156561617280

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

226 : 1, 2, 113, 226

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,884,226,728,810, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

884:2x 2x 13x 17

226:2x 113

728:2x 2x 2x 7x 13

810:2x 3x 3x 3x 3x 5

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 3x 13x 17 = 10608

Therefore, the value for common factors is 10608.

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 = 114156561617280/(1x10608)

LCM = 114156561617280/10608

LCM = 10761365160

Thus, we can understand that the LCM of 969,884,226,728,810 is 10761365160.

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

• LCM of 817, 832, 308, 140, 555
• LCM of 506, 780, 578, 367, 646
• LCM of 339, 222, 392, 875, 789
• LCM of 104, 164, 798, 314, 858
• LCM of 942, 893, 314, 835, 715

1. What is the LCM of 969, 884, 226, 728, 810?

Answer: LCM of 969, 884, 226, 728, 810 is 10761365160.

2. How to calculate the LCM of 969, 884, 226, 728, 810?

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 969, 884, 226, 728, 810.

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}.