Given numbers are 230,319,580,340,520

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

The LCM of 230,319,580,340,520 is 64859080.

Find LCM of 230,319,580,340,520 with Prime Factorization

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

2 x 2 x 5 x 29 x 23 x 11 x 1 x 17 x 26 = 64859080

Therefore, the lowest common multiple of 230,319,580,340,520 is 64859080.

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.

230 x 319 x 580 x 340 x 520 = 7523653280000

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.

230 : 1, 2, 5, 10, 23, 46, 115, 230

319 : 1, 11, 29, 319

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,319,580,340,520, is 1.

Now, the common factors can be found like this.

230:2x 5x 23

319:11x 29

580:2x 2x 5x 29

340:2x 2x 5x 17

520:2x 2x 2x 5x 13

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 2x 5x 5x 5x 29 = 116000

Therefore, the value for common factors is 116000.

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 = 7523653280000/(1x116000)

LCM = 7523653280000/116000

LCM = 64859080

Thus, we can understand that the LCM of 230,319,580,340,520 is 64859080.

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

• LCM of 497, 401, 279, 255, 284
• LCM of 630, 286, 516, 262, 337
• LCM of 607, 370, 594, 419, 987
• LCM of 886, 980, 411, 517, 697
• LCM of 380, 114, 915, 418, 274

1. What is the LCM of 230, 319, 580, 340, 520?

Answer: LCM of 230, 319, 580, 340, 520 is 64859080.

2. How to calculate the LCM of 230, 319, 580, 340, 520?

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 230, 319, 580, 340, 520.

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}.