Given numbers are 276,310,923,315,345

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

The LCM of 276,310,923,315,345 is 829204740.

Find LCM of 276,310,923,315,345 with Prime Factorization

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

2 x 3 x 5 x 23 x 2 x 31 x 923 x 21 x 1 = 829204740

Therefore, the lowest common multiple of 276,310,923,315,345 is 829204740.

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.

276 x 310 x 923 x 315 x 345 = 8582269059000

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

310 : 1, 2, 5, 10, 31, 62, 155, 310

923 : 1, 13, 71, 923

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,310,923,315,345, is 1.

Now, the common factors can be found like this.

276:2x 2x 3x 23

310:2x 5x 31

923:13x 71

315:3x 3x 5x 7

345:3x 5x 23

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

2x 3x 3x 5x 5x 23 = 10350

Therefore, the value for common factors is 10350.

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 = 8582269059000/(1x10350)

LCM = 8582269059000/10350

LCM = 829204740

Thus, we can understand that the LCM of 276,310,923,315,345 is 829204740.

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

• LCM of 661, 416, 512, 478, 126
• LCM of 721, 722, 809, 908, 514
• LCM of 751, 884, 636, 838, 297
• LCM of 137, 333, 845, 271, 278
• LCM of 629, 749, 755, 408, 876

1. What is the LCM of 276, 310, 923, 315, 345?

Answer: LCM of 276, 310, 923, 315, 345 is 829204740.

2. How to calculate the LCM of 276, 310, 923, 315, 345?

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 276, 310, 923, 315, 345.

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}.