Given numbers are 288,273,214,712,609

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

The LCM of 288,273,214,712,609 is 7237784736.

Find LCM of 288,273,214,712,609 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 12 x 13 x 107 x 89 x 29 = 7237784736

Therefore, the lowest common multiple of 288,273,214,712,609 is 7237784736.

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 273 x 214 x 712 x 609 = 7295687013888

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

273 : 1, 3, 7, 13, 21, 39, 91, 273

214 : 1, 2, 107, 214

712 : 1, 2, 4, 8, 89, 178, 356, 712

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,273,214,712,609, is 1.

Now, the common factors can be found like this.

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

273:3x 7x 13

214:2x 107

712:2x 2x 2x 89

609:3x 7x 29

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 7 = 1008

Therefore, the value for common factors is 1008.

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 = 7295687013888/(1x1008)

LCM = 7295687013888/1008

LCM = 7237784736

Thus, we can understand that the LCM of 288,273,214,712,609 is 7237784736.

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

• LCM of 826, 978, 946, 105, 529
• LCM of 746, 695, 435, 884, 202
• LCM of 352, 993, 382, 215, 126
• LCM of 582, 180, 334, 669, 673
• LCM of 387, 323, 138, 446, 114

1. What is the LCM of 288, 273, 214, 712, 609?

Answer: LCM of 288, 273, 214, 712, 609 is 7237784736.

2. How to calculate the LCM of 288, 273, 214, 712, 609?

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, 273, 214, 712, 609.

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}.