Given numbers are 288,181,860,869

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

The LCM of 288,181,860,869 is 9739334880.

Find LCM of 288,181,860,869 with Prime Factorization

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

2 x 2 x 72 x 181 x 215 x 869 = 9739334880

Therefore, the lowest common multiple of 288,181,860,869 is 9739334880.

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.

288 x 181 x 860 x 869 = 38957339520

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

181 : 1, 181

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,181,860,869, is 1.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

181:181

860:2x 2x 5x 43

869:11x 79

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 38957339520/(1x4)

LCM = 38957339520/4

LCM = 9739334880

Thus, we can understand that the LCM of 288,181,860,869 is 9739334880.

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

• LCM of 339, 292, 242, 614
• LCM of 229, 270, 856, 298
• LCM of 782, 876, 162, 884
• LCM of 253, 510, 990, 118
• LCM of 642, 309, 340, 841

1. What is the LCM of 288, 181, 860, 869?

Answer: LCM of 288, 181, 860, 869 is 9739334880.

2. How to calculate the LCM of 288, 181, 860, 869?

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 288, 181, 860, 869.

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}.