Given numbers are 969,129,804,840,180

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

The LCM of 969,129,804,840,180 is 2345018760.

Find LCM of 969,129,804,840,180 with Prime Factorization

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

2 x 2 x 3 x 5 x 323 x 43 x 67 x 14 x 3 = 2345018760

Therefore, the lowest common multiple of 969,129,804,840,180 is 2345018760.

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 129 x 804 x 840 x 180 = 15195721564800

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

129 : 1, 3, 43, 129

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,129,804,840,180, is 3.

Now, the common factors can be found like this.

969:3x 17x 19

129:3x 43

804:2x 2x 3x 67

840:2x 2x 2x 3x 5x 7

180:2x 2x 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 3x 3x 5 = 2160

Therefore, the value for common factors is 2160.

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 = 15195721564800/(3x2160)

LCM = 15195721564800/6480

LCM = 2345018760

Thus, we can understand that the LCM of 969,129,804,840,180 is 2345018760.

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

• LCM of 265, 704, 149, 411, 120
• LCM of 234, 775, 652, 864, 728
• LCM of 529, 815, 151, 502, 570
• LCM of 139, 750, 557, 213, 420
• LCM of 986, 342, 925, 508, 615

1. What is the LCM of 969, 129, 804, 840, 180?

Answer: LCM of 969, 129, 804, 840, 180 is 2345018760.

2. How to calculate the LCM of 969, 129, 804, 840, 180?

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, 129, 804, 840, 180.

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}.